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1310289172929 = 331116361743867
BaseRepresentation
bin10011000100010011010…
…100100001100111000001
311122021002022020121001000
4103010103110201213001
5132431433012013204
62441534420202213
7163444121130162
oct23042324414701
94567068217030
101310289172929
114657660960a0
12191b39239369
1396737991549
14475bdca3769
152413c3a4039
hex131135219c1

1310289172929 has 64 divisors (see below), whose sum is σ = 2134132577280. Its totient is φ = 787945656960.

The previous prime is 1310289172901. The next prime is 1310289172961. The reversal of 1310289172929 is 9292719820131.

1310289172929 is a `hidden beast` number, since 1 + 310 + 28 + 9 + 17 + 292 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1310289172929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1310289172229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29847654 + ... + 29891520.

It is an arithmetic number, because the mean of its divisors is an integer number (33345821520).

Almost surely, 21310289172929 is an apocalyptic number.

It is an amenable number.

1310289172929 is a deficient number, since it is larger than the sum of its proper divisors (823843404351).

1310289172929 is a wasteful number, since it uses less digits than its factorization.

1310289172929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44667 (or 44661 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1310289172929 in words is "one trillion, three hundred ten billion, two hundred eighty-nine million, one hundred seventy-two thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 27 33 99 163 297 489 617 1467 1793 1851 4401 5379 5553 6787 16137 16659 20361 43867 48411 61083 100571 131601 183249 301713 394803 482537 905139 1106281 1184409 1447611 2715417 3318843 4342833 7150321 9956529 13028499 21450963 27065939 29869587 64352889 78653531 81197817 193058667 235960593 243593451 297725329 707881779 730780353 893175987 2123645337 2679527961 4411748057 8038583883 13235244171 39705732513 48529228627 119117197539 145587685881 436763057643 1310289172929