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201312220322010 = 23572777537459169
BaseRepresentation
bin101101110001011110100111…
…011000011001100011011010
3222101210021000202200012010110
4231301132213120121203122
5202341244411400301020
61552053320213025150
760255220326110160
oct5561364730314332
9871707022605113
10201312220322010
115916504019a316
121a6b37a73251b6
13884387906bc95
14379d7c617d230
1518418d5c558e0
hexb717a76198da

201312220322010 has 128 divisors (see below), whose sum is σ = 554238790202880. Its totient is φ = 45841922555904.

The previous prime is 201312220321943. The next prime is 201312220322029. The reversal of 201312220322010 is 10223022213102.

It is a super-2 number, since 2×2013122203220102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438197706 + ... + 438656874.

It is an arithmetic number, because the mean of its divisors is an integer number (4329990548460).

Almost surely, 2201312220322010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201312220322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277119395101440).

201312220322010 is an abundant number, since it is smaller than the sum of its proper divisors (352926569880870).

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

201312220322010 is a wasteful number, since it uses less digits than its factorization.

201312220322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467000.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201312220322010 its reverse (10223022213102), we get a palindrome (211535242535112).

The spelling of 201312220322010 in words is "two hundred one trillion, three hundred twelve billion, two hundred twenty million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 831 1385 1662 1939 2770 3878 4155 5817 7537 8310 9695 11634 15074 19390 22611 29085 37685 45222 52759 58170 75370 105518 113055 158277 226110 263795 316554 459169 527590 791385 918338 1377507 1582770 2087749 2295845 2755014 3214183 4175498 4591690 6263247 6428366 6887535 9642549 10438745 12526494 13775070 14614243 16070915 19285098 20877490 29228486 31316235 32141830 43842729 48212745 62632470 73071215 87685458 96425490 127189813 146142430 219213645 254379626 381569439 438427290 635949065 763138878 890328691 1271898130 1780657382 1907847195 2670986073 3460756753 3815694390 4451643455 5341972146 6921513506 8903286910 10382270259 13354930365 17303783765 20764540518 24225297271 26709860730 34607567530 48450594542 51911351295 72675891813 103822702590 121126486355 145351783626 242252972710 363379459065 726758918130 958629620581 1917259241162 2875888861743 4793148102905 5751777723486 6710407344067 9586296205810 13420814688134 14379444308715 20131222032201 28758888617430 33552036720335 40262444064402 67104073440670 100656110161005 201312220322010