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131001111242328 = 2339777394776871
BaseRepresentation
bin11101110010010100010010…
…101100110110011001011000
3122011211120202200102200011010
4131302110102230312121120
5114132310233434223303
61142341025114133520
736410342441646165
oct3562242254663130
9564746680380133
10131001111242328
1138817294116a08
1212838a871212a0
135813475b39862
14244c6b802d06c
15102298d666c03
hex772512b36658

131001111242328 has 128 divisors (see below), whose sum is σ = 331661304414720. Its totient is φ = 43114816081920.

The previous prime is 131001111242327. The next prime is 131001111242347. The reversal of 131001111242328 is 823242111100131.

It is a super-2 number, since 2×1310011112423282 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001111242295 and 131001111242304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001111242327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704129733 + ... + 1704206603.

It is an arithmetic number, because the mean of its divisors is an integer number (2591103940740).

Almost surely, 2131001111242328 is an apocalyptic number.

It is an amenable number.

131001111242328 is an abundant number, since it is smaller than the sum of its proper divisors (200660193172392).

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

131001111242328 is a wasteful number, since it uses less digits than its factorization.

131001111242328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78697 (or 78693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 131001111242328 its reverse (823242111100131), we get a palindrome (954243222342459).

The spelling of 131001111242328 in words is "one hundred thirty-one trillion, one billion, one hundred eleven million, two hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 773 776 947 1164 1546 1894 2319 2328 2841 3092 3788 4638 5682 6184 7576 9276 11364 18552 22728 74981 76871 91859 149962 153742 183718 224943 230613 275577 299924 307484 367436 449886 461226 551154 599848 614968 732031 734872 899772 922452 1102308 1464062 1799544 1844904 2196093 2204616 2928124 4392186 5856248 7456487 8784372 14912974 17568744 22369461 29825948 44738922 59421283 59651896 71007007 72796837 89477844 118842566 142014014 145593674 178263849 178955688 213021021 218390511 237685132 284028028 291187348 356527698 426042042 436781022 475370264 568056056 582374696 713055396 852084084 873562044 1426110792 1704168168 1747124088 5763864451 7061293189 11527728902 14122586378 17291593353 21183879567 23055457804 28245172756 34583186706 42367759134 46110915608 56271955001 56490345512 69166373412 84735518268 112543910002 138332746824 168815865003 169471036536 225087820004 337631730006 450175640008 675263460012 1350526920024 5458379635097 10916759270194 16375138905291 21833518540388 32750277810582 43667037080776 65500555621164 131001111242328