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100047317031 = 32531138292239
BaseRepresentation
bin101110100101101001…
…0001110100000100111
3100120020110200022000100
41131023102032200213
53114344103121111
6113543333115143
710141160110014
oct1351322164047
9316213608010
10100047317031
1139480114092
1217481788ab3
13958556889c
144bb145a70b
152908484756
hex174b48e827

100047317031 has 48 divisors (see below), whose sum is σ = 148788057600. Its totient is φ = 64753468416.

The previous prime is 100047317009. The next prime is 100047317039. The reversal of 100047317031 is 130713740001.

It is not a de Polignac number, because 100047317031 - 219 = 100046792743 is a prime.

It is a super-2 number, since 2×1000473170312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100047316986 and 100047317004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100047317039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44682810 + ... + 44685048.

It is an arithmetic number, because the mean of its divisors is an integer number (3099751200).

Almost surely, 2100047317031 is an apocalyptic number.

100047317031 is a deficient number, since it is larger than the sum of its proper divisors (48740740569).

100047317031 is a wasteful number, since it uses less digits than its factorization.

100047317031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 100047317031 in words is "one hundred billion, forty-seven million, three hundred seventeen thousand, thirty-one".

Divisors: 1 3 9 53 113 159 339 477 829 1017 2239 2487 5989 6717 7461 17967 20151 43937 53901 93677 118667 131811 253007 281031 356001 395433 759021 843093 1068003 1856131 2277063 4964881 5568393 13409371 14894643 16705179 40228113 44683929 98374943 120684339 209742803 295124829 629228409 885374487 1887685227 11116368559 33349105677 100047317031