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131103331211532 = 223235698231014361
BaseRepresentation
bin11101110011110011011111…
…011111000101100100001100
3122012012100121120100010122110
4131303303133133011210030
5114140444110242232112
61142500012222544020
736420621523234131
oct3563633737054414
9565170546303573
10131103331211532
11388566796807a9
1212854854438010
13581ccb6550034
142453613c48588
15102547271513c
hex773cdf7c590c

131103331211532 has 96 divisors (see below), whose sum is σ = 320157965675520. Its totient is φ = 41676855137280.

The previous prime is 131103331211441. The next prime is 131103331211609. The reversal of 131103331211532 is 235112133301131.

It is a self number, because there is not a number n which added to its sum of digits gives 131103331211532.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128740032 + ... + 129754392.

It is an arithmetic number, because the mean of its divisors is an integer number (3334978809120).

Almost surely, 2131103331211532 is an apocalyptic number.

131103331211532 is a gapful number since it is divisible by the number (12) 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 131103331211532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160078982837760).

131103331211532 is an abundant number, since it is smaller than the sum of its proper divisors (189054634463988).

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

131103331211532 is a wasteful number, since it uses less digits than its factorization.

131103331211532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015783 (or 1015781 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

Adding to 131103331211532 its reverse (235112133301131), we get a palindrome (366215464512663).

The spelling of 131103331211532 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred thirty-one million, two hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 569 823 1138 1646 1707 2276 2469 3292 3414 4938 6828 9876 13087 18929 26174 37858 39261 52348 56787 75716 78522 113574 157044 227148 468287 936574 1014361 1404861 1873148 2028722 2809722 3043083 4057444 5619444 6086166 10770601 12172332 21541202 23330303 32311803 43082404 46660606 64623606 69990909 93321212 129247212 139981818 279963636 577171409 834819103 1154342818 1669638206 1731514227 2308685636 2504457309 3339276412 3463028454 5008914618 6926056908 10017829236 13274942407 19200839369 26549884814 38401678738 39824827221 53099769628 57602518107 76803357476 79649654442 115205036214 159299308884 230410072428 475012069607 950024139214 1425036208821 1900048278428 2850072417642 5700144835284 10925277600961 21850555201922 32775832802883 43701110403844 65551665605766 131103331211532