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10000345131 = 347139223569
BaseRepresentation
bin10010101000001000…
…10010100000101011
3221210221102011120000
421110010102200223
5130440042021011
64332154034043
7502550350110
oct112404224053
927727364500
1010000345131
114271a30347
121b31118923
13c34aab5aa
146ac212907
153d7e2a356
hex25411282b

10000345131 has 80 divisors (see below), whose sum is σ = 17303193600. Its totient is φ = 5638004352.

The previous prime is 10000345111. The next prime is 10000345139. The reversal of 10000345131 is 13154300001.

10000345131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000345131 - 215 = 10000312363 is a prime.

It is a super-2 number, since 2×100003451312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000345139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17575015 + ... + 17575583.

It is an arithmetic number, because the mean of its divisors is an integer number (216289920).

Almost surely, 210000345131 is an apocalyptic number.

10000345131 is a deficient number, since it is larger than the sum of its proper divisors (7302848469).

10000345131 is a wasteful number, since it uses less digits than its factorization.

10000345131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10000345131 its reverse (13154300001), we get a palindrome (23154645132).

The spelling of 10000345131 in words is "ten billion, three hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 139 189 223 417 567 569 669 973 1251 1561 1707 2007 2919 3753 3983 4683 5121 6021 8757 11259 11949 14049 15363 18063 26271 30997 35847 42147 46089 78813 79091 92991 107541 126441 126887 216979 237273 278973 322623 380661 553637 650937 711819 836919 888209 1141983 1660911 1952811 2135457 2510757 2664627 3425949 4982733 5858433 6406371 7993881 10277847 14948199 17575299 17637293 23981643 44844597 52911879 71944929 123461051 158735637 370383153 476206911 1111149459 1428620733 3333448377 10000345131