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201010222211220 = 2235568576031811
BaseRepresentation
bin101101101101000101010110…
…111001000010000010010100
3222100201101111222221121200000
4231231011112321002002110
5202321322413341224340
61551302453221251300
760224336456401602
oct5555052671020224
9870641458847600
10201010222211220
1159058a58126894
121a665164863b30
13882124b2a7bc6
14378cd37914872
151838b0ce58d30
hexb6d156e42094

201010222211220 has 144 divisors (see below), whose sum is σ = 632405956448448. Its totient is φ = 53594899810560.

The previous prime is 201010222211177. The next prime is 201010222211291. The reversal of 201010222211220 is 22112222010102.

It is a happy number.

201010222211220 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 10 + 222 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201010222211193 and 201010222211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30309115 + ... + 36340925.

It is an arithmetic number, because the mean of its divisors is an integer number (4391708030892).

Almost surely, 2201010222211220 is an apocalyptic number.

201010222211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010222211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316202978224224).

201010222211220 is an abundant number, since it is smaller than the sum of its proper divisors (431395734237228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201010222211220 is a wasteful number, since it uses less digits than its factorization.

201010222211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038692 (or 6038678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201010222211220 its reverse (22112222010102), we get a palindrome (223122444221322).

The spelling of 201010222211220 in words is "two hundred one trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 6857 13714 20571 27428 34285 41142 61713 68570 82284 102855 123426 137140 185139 205710 246852 308565 370278 411420 555417 617130 740556 925695 1110834 1234260 1666251 1851390 2221668 2777085 3332502 3702780 5554170 6031811 6665004 8331255 11108340 12063622 16662510 18095433 24127244 30159055 33325020 36190866 54286299 60318110 72381732 90477165 108572598 120636220 162858897 180954330 217145196 271431495 325717794 361908660 488576691 542862990 651435588 814294485 977153382 1085725980 1465730073 1628588970 1954306764 2442883455 2931460146 3257177940 4885766910 5862920292 7328650365 9771533820 14657300730 29314601460 41360128027 82720256054 124080384081 165440512108 206800640135 248160768162 372241152243 413601280270 496321536324 620401920405 744482304486 827202560540 1116723456729 1240803840810 1488964608972 1861205761215 2233446913458 2481607681620 3350170370187 3722411522430 4466893826916 5583617283645 6700340740374 7444823044860 10050511110561 11167234567290 13400681480748 16750851850935 20101022221122 22334469134580 33501703701870 40202044442244 50252555552805 67003407403740 100505111105610 201010222211220