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20101010220 = 2234571174761
BaseRepresentation
bin10010101110000111…
…010001001100101100
31220212212121010020000
4102232013101030230
5312131324311340
613122334224300
71311056524224
oct225607211454
956785533200
1020101010220
118585550545
123a8b955090
131b845b31b5
14d8989b084
157c9a6ed30
hex4ae1d132c

20101010220 has 120 divisors (see below), whose sum is σ = 63946114848. Its totient is φ = 5284742400.

The previous prime is 20101010219. The next prime is 20101010227. The reversal of 20101010220 is 2201010102.

It is a super-2 number, since 2×201010102202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20101010227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27640 + ... + 202400.

Almost surely, 220101010220 is an apocalyptic number.

20101010220 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 20101010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973057424).

20101010220 is an abundant number, since it is smaller than the sum of its proper divisors (43845104628).

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

20101010220 is a wasteful number, since it uses less digits than its factorization.

20101010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174853 (or 174842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20101010220 its reverse (2201010102), we get a palindrome (22302020322).

The spelling of 20101010220 in words is "twenty billion, one hundred one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 5751 6390 7668 9585 11502 12780 19170 23004 28755 38340 57510 115020 174761 349522 524283 699044 873805 1048566 1572849 1747610 2097132 2621415 3145698 3495220 4718547 5242830 6291396 7864245 9437094 10485660 12408031 14155641 15728490 18874188 23592735 24816062 28311282 31456980 37224093 47185470 49632124 56622564 62040155 70778205 74448186 94370940 111672279 124080310 141556410 148896372 186120465 223344558 248160620 283112820 335016837 372240930 446689116 558361395 670033674 744481860 1005050511 1116722790 1340067348 1675084185 2010101022 2233445580 3350168370 4020202044 5025252555 6700336740 10050505110 20101010220