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2431343310312 = 2337731523130171
BaseRepresentation
bin100011011000010111010…
…110101011010111101000
322121102201111101100122210
4203120113112223113220
5304313342341412222
65100535501045120
7340441645101360
oct43302726532750
98542644340583
102431343310312
11858143a06124
12333263b567a0
13148375657c77
148596b6539a0
15433a13e7d0c
hex236175ab5e8

2431343310312 has 128 divisors (see below), whose sum is σ = 7046533186560. Its totient is φ = 684698365440.

The previous prime is 2431343310301. The next prime is 2431343310317. The reversal of 2431343310312 is 2130133431342.

It is a super-2 number, since 2×24313433103122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2431343310312.

It is not an unprimeable number, because it can be changed into a prime (2431343310317) 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, 18612987 + ... + 18743157.

It is an arithmetic number, because the mean of its divisors is an integer number (55051040520).

Almost surely, 22431343310312 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 2431343310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523266593280).

2431343310312 is an abundant number, since it is smaller than the sum of its proper divisors (4615189876248).

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

2431343310312 is a wasteful number, since it uses less digits than its factorization.

2431343310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131783 (or 131779 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2431343310312 its reverse (2130133431342), we get a palindrome (4561476741654).

The spelling of 2431343310312 in words is "two trillion, four hundred thirty-one billion, three hundred forty-three million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1523 1533 1752 2044 3046 3066 4088 4569 6092 6132 9138 10661 12184 12264 18276 21322 31983 36552 42644 63966 85288 111179 127932 130171 222358 255864 260342 333537 390513 444716 520684 667074 778253 781026 889432 911197 1041368 1334148 1556506 1562052 1822394 2334759 2668296 2733591 3113012 3124104 3644788 4669518 5467182 6226024 7289576 9339036 9502483 10934364 18678072 19004966 21868728 28507449 38009932 57014898 66517381 76019864 114029796 133034762 198250433 199552143 228059592 266069524 396500866 399104286 532139048 594751299 793001732 798208572 1189502598 1387753031 1586003464 1596417144 2379005196 2775506062 4163259093 4758010392 5551012124 8326518186 11102024248 14472281609 16653036372 28944563218 33306072744 43416844827 57889126436 86833689654 101305971263 115778252872 173667379308 202611942526 303917913789 347334758616 405223885052 607835827578 810447770104 1215671655156 2431343310312