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2010101220 = 2232537437019
BaseRepresentation
bin111011111001111…
…1011010111100100
312012002100201111100
41313303323113210
513104041214340
6531243240100
7100545402261
oct16763732744
95162321440
102010101220
11941716886
12481219030
132605a300a
14150d68268
15bb70a830
hex77cfb5e4

2010101220 has 144 divisors (see below), whose sum is σ = 6408642240. Its totient is φ = 509338368.

The previous prime is 2010101141. The next prime is 2010101231. The reversal of 2010101220 is 221010102.

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

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, 282871 + ... + 289889.

It is an arithmetic number, because the mean of its divisors is an integer number (44504460).

Almost surely, 22010101220 is an apocalyptic number.

2010101220 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 2010101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204321120).

2010101220 is an abundant number, since it is smaller than the sum of its proper divisors (4398541020).

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

2010101220 is a wasteful number, since it uses less digits than its factorization.

2010101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7109 counting only the distinct ones).

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

The square root of 2010101220 is about 44834.1523840922. The cubic root of 2010101220 is about 1262.0386121769.

Adding to 2010101220 its reverse (221010102), we get a palindrome (2231111322).

The spelling of 2010101220 in words is "two billion, ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 43 45 60 74 86 90 111 129 148 172 180 185 215 222 258 333 370 387 430 444 516 555 645 666 740 774 860 1110 1290 1332 1548 1591 1665 1935 2220 2580 3182 3330 3870 4773 6364 6660 7019 7740 7955 9546 14038 14319 15910 19092 21057 23865 28076 28638 31820 35095 42114 47730 57276 63171 70190 71595 84228 95460 105285 126342 140380 143190 210570 252684 259703 286380 301817 315855 421140 519406 603634 631710 779109 905451 1038812 1207268 1263420 1298515 1509085 1558218 1810902 2337327 2597030 2716353 3018170 3116436 3621804 3895545 4527255 4674654 5194060 5432706 6036340 7791090 9054510 9349308 10865412 11167229 11686635 13581765 15582180 18109020 22334458 23373270 27163530 33501687 44668916 46746540 54327060 55836145 67003374 100505061 111672290 134006748 167508435 201010122 223344580 335016870 402020244 502525305 670033740 1005050610 2010101220