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31075928100 = 22335271644229
BaseRepresentation
bin11100111100010001…
…010000100000100100
32222012201211201021000
4130330101100200210
51002120414144400
622135344553300
72150043013320
oct347421204044
988181751230
1031075928100
11121a7607808
126033322830
132c13268149
14170b2bc980
15c1d307600
hex73c450824

31075928100 has 144 divisors (see below), whose sum is σ = 114175331200. Its totient is φ = 7103064960.

The previous prime is 31075928099. The next prime is 31075928119. The reversal of 31075928100 is 182957013.

It is a super-2 number, since 2×310759281002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803215 + ... + 841014.

Almost surely, 231075928100 is an apocalyptic number.

31075928100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31075928100 is an abundant number, since it is smaller than the sum of its proper divisors (83099403100).

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

31075928100 is a wasteful number, since it uses less digits than its factorization.

31075928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644259 (or 1644246 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 31075928100 in words is "thirty-one billion, seventy-five million, nine hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 1644229 3288458 4932687 6576916 8221145 9865374 11509603 14798061 16442290 19730748 23019206 24663435 29596122 32884580 34528809 41105725 44394183 46038412 49326870 57548015 59192244 69057618 73990305 82211450 88788366 98653740 103586427 115096030 123317175 138115236 147980610 164422900 172644045 177576732 207172854 221970915 230192060 246634350 287740075 295961220 310759281 345288090 369951525 414345708 443941830 493268700 517932135 575480150 621518562 690576180 739903050 863220225 887883660 1035864270 1109854575 1150960300 1243037124 1479806100 1553796405 1726440450 2071728540 2219709150 2589660675 3107592810 3452880900 4439418300 5179321350 6215185620 7768982025 10358642700 15537964050 31075928100