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31012120320 = 283522393607
BaseRepresentation
bin11100111000011101…
…110110011100000000
32222001021202221102220
4130320131312130000
51002003100322240
622125145211040
72145336446646
oct347035663400
988037687386
1031012120320
1112174596005
126015a90a80
132c02c86c6c
141702a2d196
15c179015d0
hex738776700

31012120320 has 144 divisors (see below), whose sum is σ = 99116666880. Its totient is φ = 8263913472.

The previous prime is 31012120297. The next prime is 31012120331. The reversal of 31012120320 is 2302121013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31012120320.

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 15 ways as a sum of consecutive naturals, for example, 8595957 + ... + 8599563.

Almost surely, 231012120320 is an apocalyptic number.

31012120320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49558333440).

31012120320 is an abundant number, since it is smaller than the sum of its proper divisors (68104546560).

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

31012120320 is a wasteful number, since it uses less digits than its factorization.

31012120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31012120320 its reverse (2302121013), we get a palindrome (33314241333).

The spelling of 31012120320 in words is "thirty-one billion, twelve million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2239 3607 3840 4478 6717 7214 8956 10821 11195 13434 14428 17912 18035 21642 22390 26868 28856 33585 35824 36070 43284 44780 53736 54105 57712 67170 71648 72140 86568 89560 107472 108210 115424 134340 143296 144280 173136 179120 214944 216420 230848 268680 286592 288560 346272 358240 429888 432840 461696 537360 573184 577120 692544 716480 859776 865680 923392 1074720 1154240 1385088 1432960 1719552 1731360 2149440 2308480 2770176 2865920 3462720 4298880 4616960 6925440 8076073 8597760 13850880 16152146 24228219 32304292 40380365 48456438 64608584 80760730 96912876 121141095 129217168 161521460 193825752 242282190 258434336 323042920 387651504 484564380 516868672 646085840 775303008 969128760 1033737344 1292171680 1550606016 1938257520 2067474688 2584343360 3101212032 3876515040 5168686720 6202424064 7753030080 10337373440 15506060160 31012120320