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31606714100 = 22521345753201
BaseRepresentation
bin11101011011111010…
…000010111011110100
310000120201121102202202
4131123322002323310
51004212304322400
622304145324032
72166146431343
oct353372027364
9100521542682
1031606714100
111244a191125
126161036618
132c9920bbc0
14175b9a9b5a
15c4ec024d5
hex75be82ef4

31606714100 has 72 divisors (see below), whose sum is σ = 74025475608. Its totient is φ = 11644416000.

The previous prime is 31606714093. The next prime is 31606714133. The reversal of 31606714100 is 141760613.

It can be written as a sum of positive squares in 12 ways, for example, as 4207857424 + 27398856676 = 64868^2 + 165526^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567500 + ... + 620700.

Almost surely, 231606714100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31606714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37012737804).

31606714100 is an abundant number, since it is smaller than the sum of its proper divisors (42418761508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31606714100 is a wasteful number, since it uses less digits than its factorization.

31606714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53685 (or 53678 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 31606714100 in words is "thirty-one billion, six hundred six million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 457 650 914 1300 1828 2285 4570 5941 9140 11425 11882 22850 23764 29705 45700 53201 59410 106402 118820 148525 212804 266005 297050 532010 594100 691613 1064020 1330025 1383226 2660050 2766452 3458065 5320100 6916130 13832260 17290325 24312857 34580650 48625714 69161300 97251428 121564285 243128570 316067141 486257140 607821425 632134282 1215642850 1264268564 1580335705 2431285700 3160671410 6321342820 7901678525 15803357050 31606714100