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31332120320 = 28570134919
BaseRepresentation
bin11101001011100010…
…100011011100000000
32222212120220121220202
4131023202203130000
51003132010322240
622221020024332
72156303425364
oct351342433400
988776817822
1031332120320
111231918a816
1260a50920a8
132c54368187
14173332b2a4
15c35a61315
hex74b8a3700

31332120320 has 72 divisors (see below), whose sum is σ = 75159433440. Its totient is φ = 12514611200.

The previous prime is 31332120307. The next prime is 31332120353. The reversal of 31332120320 is 2302123313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31332120292 and 31332120301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879821 + ... + 914739.

It is an arithmetic number, because the mean of its divisors is an integer number (1043881020).

Almost surely, 231332120320 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 31332120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37579716720).

31332120320 is an abundant number, since it is smaller than the sum of its proper divisors (43827313120).

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

31332120320 is an equidigital number, since it uses as much as digits as its factorization.

31332120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35641 (or 35627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31332120320 its reverse (2302123313), we get a palindrome (33634243633).

The spelling of 31332120320 in words is "thirty-one billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 701 1280 1402 2804 3505 5608 7010 11216 14020 22432 28040 34919 44864 56080 69838 89728 112160 139676 174595 179456 224320 279352 349190 448640 558704 698380 897280 1117408 1396760 2234816 2793520 4469632 5587040 8939264 11174080 22348160 24478219 44696320 48956438 97912876 122391095 195825752 244782190 391651504 489564380 783303008 979128760 1566606016 1958257520 3133212032 3916515040 6266424064 7833030080 15666060160 31332120320