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1291003025431 = 73127156718913
BaseRepresentation
bin10010110010010101110…
…001101101100000010111
311120102022012221210022211
4102302111301231200113
5132122433233303211
62425024551134251
7162162154441000
oct22622561554027
94512265853284
101291003025431
11458569608019
1218a256374387
1394983166252
14466b07201a7
15238ae144e21
hex12c95c6d817

1291003025431 has 32 divisors (see below), whose sum is σ = 1518446182400. Its totient is φ = 1097102216448.

The previous prime is 1291003025399. The next prime is 1291003025443. The reversal of 1291003025431 is 1345203001921.

It is not a de Polignac number, because 1291003025431 - 25 = 1291003025399 is a prime.

It is a super-2 number, since 2×12910030254312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1291003025393 and 1291003025402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291003065431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68250631 + ... + 68269543.

It is an arithmetic number, because the mean of its divisors is an integer number (47451443200).

Almost surely, 21291003025431 is an apocalyptic number.

1291003025431 is a deficient number, since it is larger than the sum of its proper divisors (227443156969).

1291003025431 is a wasteful number, since it uses less digits than its factorization.

1291003025431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628 (or 20614 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 1291003025431 in words is "one trillion, two hundred ninety-one billion, three million, twenty-five thousand, four hundred thirty-one".

Divisors: 1 7 49 127 343 889 1567 6223 10969 18913 43561 76783 132391 199009 537481 926737 1393063 2401951 6487159 9751441 16813657 29636671 68260087 117695599 207456697 823869193 1452196879 3763857217 10165378153 26347000519 184429003633 1291003025431