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10011132131 = 7211137120123
BaseRepresentation
bin10010101001011010…
…11100000011100011
3221211200201012112112
421110231130003203
5131000322212011
64333221145535
7503041135100
oct112455340343
927750635475
1010011132131
114278028820
121b3485b2ab
13c370b7430
146ad81daa7
153d8d5b58b
hex254b5c0e3

10011132131 has 48 divisors (see below), whose sum is σ = 13874934528. Its totient is φ = 7099041600.

The previous prime is 10011132127. The next prime is 10011132149. The reversal of 10011132131 is 13123111001.

It is a happy number.

It is not a de Polignac number, because 10011132131 - 22 = 10011132127 is a prime.

It is a super-2 number, since 2×100111321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011132121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487436 + ... + 507558.

It is an arithmetic number, because the mean of its divisors is an integer number (289061136).

Almost surely, 210011132131 is an apocalyptic number.

10011132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011132131 is a deficient number, since it is larger than the sum of its proper divisors (3863802397).

10011132131 is a wasteful number, since it uses less digits than its factorization.

10011132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20232 (or 20225 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10011132131 its reverse (13123111001), we get a palindrome (23134243132).

The spelling of 10011132131 in words is "ten billion, eleven million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 49 71 77 91 143 497 539 637 781 923 1001 3479 5467 6461 7007 10153 20123 38269 45227 71071 140861 221353 261599 497497 986027 1428733 1549471 1831193 2877589 10001131 10846297 12818351 15716063 18573529 20143123 70007917 110012441 130014703 141001861 204308819 770087087 910102921 1430161733 10011132131