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31873133137813 = 112263414323453
BaseRepresentation
bin1110011111101000010101…
…10001110100111110010101
311011212001010110011020220121
413033310022301310332111
513134202134040402223
6151442152031031541
76466520644352422
oct717641261647625
9134761113136817
1031873133137813
11a1793577a8600
1236a928796b5b1
1314a2814c5a0a6
147c294c912d49
153a416003515d
hex1cfd0ac74f95

31873133137813 has 6 divisors (see below), whose sum is σ = 35034105019382. Its totient is φ = 28975575579720.

The previous prime is 31873133137691. The next prime is 31873133137823.

31873133137813 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 19689249684049 + 12183883453764 = 4437257^2 + 3490542^2 .

It is a de Polignac number, because none of the positive numbers 2k-31873133137813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31873133137823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131707161606 + ... + 131707161847.

Almost surely, 231873133137813 is an apocalyptic number.

It is an amenable number.

31873133137813 is a deficient number, since it is larger than the sum of its proper divisors (3160971881569).

31873133137813 is a wasteful number, since it uses less digits than its factorization.

31873133137813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263414323475 (or 263414323464 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The spelling of 31873133137813 in words is "thirty-one trillion, eight hundred seventy-three billion, one hundred thirty-three million, one hundred thirty-seven thousand, eight hundred thirteen".

Divisors: 1 11 121 263414323453 2897557557983 31873133137813