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31322014220 = 2257276141999
BaseRepresentation
bin11101001010111100…
…000000001000001100
32222211212220011221202
4131022330000020030
51003121413423340
622220015245032
72156121504500
oct351274001014
988755804852
1031322014220
1112313507972
1260a1819778
132c5223a233
141731c5a300
15c34c16c15
hex74af0020c

31322014220 has 72 divisors (see below), whose sum is σ = 76617576000. Its totient is φ = 10724609280.

The previous prime is 31322014181. The next prime is 31322014303. The reversal of 31322014220 is 2241022313.

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 = 31322014192 and 31322014201.

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 23 ways as a sum of consecutive naturals, for example, 724781 + ... + 766779.

It is an arithmetic number, because the mean of its divisors is an integer number (1064133000).

Almost surely, 231322014220 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 31322014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308788000).

31322014220 is an abundant number, since it is smaller than the sum of its proper divisors (45295561780).

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

31322014220 is a wasteful number, since it uses less digits than its factorization.

31322014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42783 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31322014220 its reverse (2241022313), we get a palindrome (33563036533).

The spelling of 31322014220 in words is "thirty-one billion, three hundred twenty-two million, fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 761 980 1522 3044 3805 5327 7610 10654 15220 21308 26635 37289 41999 53270 74578 83998 106540 149156 167996 186445 209995 293993 372890 419990 587986 745780 839980 1175972 1469965 2057951 2939930 4115902 5879860 8231804 10289755 20579510 31961239 41159020 63922478 127844956 159806195 223728673 319612390 447457346 639224780 894914692 1118643365 1566100711 2237286730 3132201422 4474573460 6264402844 7830503555 15661007110 31322014220