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31322010120 = 23354334917393
BaseRepresentation
bin11101001010111011…
…111111001000001000
32222211212212222022220
4131022323333020020
51003121413310440
622220015214040
72156121456522
oct351273771010
988755788286
1031322010120
1112313504885
1260a1817320
132c522383cb
141731c58a12
15c34c158d0
hex74aeff208

31322010120 has 128 divisors (see below), whose sum is σ = 96432336000. Its totient is φ = 8134447104.

The previous prime is 31322010103. The next prime is 31322010143. The reversal of 31322010120 is 2101022313.

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 31322010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792144 + ... + 1809536.

It is an arithmetic number, because the mean of its divisors is an integer number (753377625).

Almost surely, 231322010120 is an apocalyptic number.

31322010120 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 31322010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48216168000).

31322010120 is an abundant number, since it is smaller than the sum of its proper divisors (65110325880).

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

31322010120 is a wasteful number, since it uses less digits than its factorization.

31322010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17799 (or 17795 counting only the distinct ones).

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

Adding to 31322010120 its reverse (2101022313), we get a palindrome (33423032433).

The spelling of 31322010120 in words is "thirty-one billion, three hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 349 430 516 645 698 860 1032 1047 1290 1396 1720 1745 2094 2580 2792 3490 4188 5160 5235 6980 8376 10470 13960 15007 17393 20940 30014 34786 41880 45021 52179 60028 69572 75035 86965 90042 104358 120056 139144 150070 173930 180084 208716 225105 260895 300140 347860 360168 417432 450210 521790 600280 695720 747899 900420 1043580 1495798 1800840 2087160 2243697 2991596 3739495 4487394 5983192 6070157 7478990 8974788 11218485 12140314 14957980 17949576 18210471 22436970 24280628 29915960 30350785 36420942 44873940 48561256 60701570 72841884 89747880 91052355 121403140 145683768 182104710 242806280 261016751 364209420 522033502 728418840 783050253 1044067004 1305083755 1566100506 2088134008 2610167510 3132201012 3915251265 5220335020 6264402024 7830502530 10440670040 15661005060 31322010120