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31320268920 = 23335171705897
BaseRepresentation
bin11101001010110101…
…010110000001111000
32222211202121111212000
4131022311112001320
51003120442101140
622215514021000
72156100615243
oct351265260170
988752544760
1031320268920
1112312525676
1260a1117760
132c51a78a05
14173192425a
15c349bea30
hex74ad56078

31320268920 has 128 divisors (see below), whose sum is σ = 110542190400. Its totient is φ = 7860768768.

The previous prime is 31320268913. The next prime is 31320268997. The reversal of 31320268920 is 2986202313.

It is a super-2 number, since 2×313202689202 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834589 + ... + 871308.

Almost surely, 231320268920 is an apocalyptic number.

31320268920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31320268920 is an abundant number, since it is smaller than the sum of its proper divisors (79221921480).

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

31320268920 is a wasteful number, since it uses less digits than its factorization.

31320268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705934 (or 1705924 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31320268920 in words is "thirty-one billion, three hundred twenty million, two hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 1705897 3411794 5117691 6823588 8529485 10235382 13647176 15353073 17058970 20470764 25588455 29000249 30706146 34117940 40941528 46059219 51176910 58000498 61412292 68235880 76765365 87000747 92118438 102353820 116000996 122824584 145001245 153530730 174001494 184236876 204707640 230296095 232001992 261002241 290002490 307061460 348002988 368473752 435003735 460592190 522004482 580004980 614122920 696005976 783006723 870007470 921184380 1044008964 1160009960 1305011205 1566013446 1740014940 1842368760 2088017928 2610022410 3132026892 3480029880 3915033615 5220044820 6264053784 7830067230 10440089640 15660134460 31320268920