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31322304024 = 233111731225133
BaseRepresentation
bin11101001010111101…
…000110111000011000
32222211220102220111020
4131022331012320120
51003122002212044
622220025402440
72156124122424
oct351275067030
988756386436
1031322304024
1112313695680
1260a1939420
132c5230c10b
141731cd3b84
15c34c72a19
hex74af46e18

31322304024 has 128 divisors (see below), whose sum is σ = 93367572480. Its totient is φ = 8645068800.

The previous prime is 31322304011. The next prime is 31322304029. The reversal of 31322304024 is 42040322313.

It is a super-3 number, since 3×313223040243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31322303985 and 31322304003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322304029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26562 + ... + 251694.

It is an arithmetic number, because the mean of its divisors is an integer number (729434160).

Almost surely, 231322304024 is an apocalyptic number.

31322304024 is a gapful number since it is divisible by the number (34) 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 31322304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683786240).

31322304024 is an abundant number, since it is smaller than the sum of its proper divisors (62045268456).

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

31322304024 is a wasteful number, since it uses less digits than its factorization.

31322304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225201 (or 225197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31322304024 its reverse (42040322313), we get a palindrome (73362626337).

The spelling of 31322304024 in words is "thirty-one billion, three hundred twenty-two million, three hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 31 33 34 44 51 62 66 68 88 93 102 124 132 136 186 187 204 248 264 341 372 374 408 527 561 682 744 748 1023 1054 1122 1364 1496 1581 2046 2108 2244 2728 3162 4092 4216 4488 5797 6324 8184 11594 12648 17391 23188 34782 46376 69564 139128 225133 450266 675399 900532 1350798 1801064 2476463 2701596 3827261 4952926 5403192 6979123 7429389 7654522 9905852 11481783 13958246 14858778 15309044 19811704 20937369 22963566 27916492 29717556 30618088 41874738 42099871 45927132 55832984 59435112 76770353 83749476 84199742 91854264 118645091 126299613 153540706 167498952 168399484 230311059 237290182 252599226 307081412 336798968 355935273 460622118 474580364 505198452 614162824 711870546 921244236 949160728 1010396904 1305096001 1423741092 1842488472 2610192002 2847482184 3915288003 5220384004 7830576006 10440768008 15661152012 31322304024