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11315402532 = 2232766167931
BaseRepresentation
bin10101000100111001…
…10101011100100100
31002012120221000011200
422202130311130210
5141133220340112
65110452202500
7550256222520
oct124234653444
932176830150
1011315402532
114887282445
122239609430
1310b4389075
14794b32d80
154635e1cdc
hex2a2735724

11315402532 has 72 divisors (see below), whose sum is σ = 32738876352. Its totient is φ = 3228033600.

The previous prime is 11315402513. The next prime is 11315402537. The reversal of 11315402532 is 23520451311.

11315402532 is a `hidden beast` number, since 113 + 1 + 540 + 2 + 5 + 3 + 2 = 666.

It is a super-2 number, since 2×113154025322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11315402496 and 11315402505.

It is not an unprimeable number, because it can be changed into a prime (11315402537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132607 + ... + 200537.

It is an arithmetic number, because the mean of its divisors is an integer number (454706616).

Almost surely, 211315402532 is an apocalyptic number.

11315402532 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 11315402532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369438176).

11315402532 is an abundant number, since it is smaller than the sum of its proper divisors (21423473820).

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

11315402532 is a wasteful number, since it uses less digits than its factorization.

11315402532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68609 (or 68604 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11315402532 its reverse (23520451311), we get a palindrome (34835853843).

The spelling of 11315402532 in words is "eleven billion, three hundred fifteen million, four hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 661 1322 1983 2644 3966 4627 5949 7932 9254 11898 13881 18508 23796 27762 41643 55524 67931 83286 135862 166572 203793 271724 407586 475517 611379 815172 951034 1222758 1426551 1902068 2445516 2853102 4279653 5706204 8559306 17118612 44902391 89804782 134707173 179609564 269414346 314316737 404121519 538828692 628633474 808243038 942950211 1257266948 1616486076 1885900422 2828850633 3771800844 5657701266 11315402532