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31105383933 = 3131109719183
BaseRepresentation
bin11100111110000001…
…100111110111111101
32222021210021020001210
4130332001213313331
51002200434241213
622142320155033
72150551254351
oct347601476775
988253236053
1031105383933
11122121a6378
126041168a79
132c193ac530
141711189461
15c20bc50c3
hex73e067dfd

31105383933 has 16 divisors (see below), whose sum is σ = 44704477440. Its totient is φ = 19124487744.

The previous prime is 31105383901. The next prime is 31105383943. The reversal of 31105383933 is 33938350113.

It is not a de Polignac number, because 31105383933 - 25 = 31105383901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31105383891 and 31105383900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31105383943) 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 15 ways as a sum of consecutive naturals, for example, 316341 + ... + 402842.

It is an arithmetic number, because the mean of its divisors is an integer number (2794029840).

Almost surely, 231105383933 is an apocalyptic number.

It is an amenable number.

31105383933 is a deficient number, since it is larger than the sum of its proper divisors (13599093507).

31105383933 is a wasteful number, since it uses less digits than its factorization.

31105383933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720308.

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 31105383933 in words is "thirty-one billion, one hundred five million, three hundred eighty-three thousand, nine hundred thirty-three".

Divisors: 1 3 13 39 1109 3327 14417 43251 719183 2157549 9349379 28048137 797573947 2392721841 10368461311 31105383933