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1310729631 = 317316113591
BaseRepresentation
bin100111000100000…
…0010010110011111
310101100100222000220
41032020002112133
510141021322011
6334021252423
744324006121
oct11610022637
93340328026
101310729631
11612966632
12306b64113
1317b723983
14c6115211
157a10e506
hex4e20259f

1310729631 has 32 divisors (see below), whose sum is σ = 1941590016. Its totient is φ = 782784000.

The previous prime is 1310729599. The next prime is 1310729633. The reversal of 1310729631 is 1369270131.

It is not a de Polignac number, because 1310729631 - 25 = 1310729599 is a prime.

It is a super-2 number, since 2×13107296312 = 3436024331162792322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310729592 and 1310729601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310729633) 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, 89646 + ... + 103236.

It is an arithmetic number, because the mean of its divisors is an integer number (60674688).

Almost surely, 21310729631 is an apocalyptic number.

1310729631 is a deficient number, since it is larger than the sum of its proper divisors (630860385).

1310729631 is a wasteful number, since it uses less digits than its factorization.

1310729631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13703.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1310729631 is about 36204.0002071594. Note that the first 3 decimals coincide. The cubic root of 1310729631 is about 1094.3872863317.

Adding to 1310729631 its reverse (1369270131), we get a palindrome (2679999762).

The spelling of 1310729631 in words is "one billion, three hundred ten million, seven hundred twenty-nine thousand, six hundred thirty-one".

Divisors: 1 3 17 31 51 61 93 183 527 1037 1581 1891 3111 5673 13591 32147 40773 96441 231047 421321 693141 829051 1263963 2487153 7162457 14093867 21487371 25700581 42281601 77101743 436909877 1310729631