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12431241331332 = 22315152354723981
BaseRepresentation
bin1011010011100101111110…
…1110010100001010000100
31122000102012120201112121220
42310321133232110022010
53112133140240100312
642234500004240340
72422061514602115
oct264713756241204
948012176645556
1012431241331332
113a6307271689a
1214893116a00b0
136c2351628ca5
1430d964dd820c
151685723e4c8c
hexb4e5fb94284

12431241331332 has 96 divisors (see below), whose sum is σ = 29308855747584. Its totient is φ = 4100752656000.

The previous prime is 12431241331303. The next prime is 12431241331367. The reversal of 12431241331332 is 23313314213421.

12431241331332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124312413313322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12431241331293 and 12431241331302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518366782 + ... + 518390762.

It is an arithmetic number, because the mean of its divisors is an integer number (305300580704).

Almost surely, 212431241331332 is an apocalyptic number.

12431241331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12431241331332 is an abundant number, since it is smaller than the sum of its proper divisors (16877614416252).

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

12431241331332 is a wasteful number, since it uses less digits than its factorization.

12431241331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25209 (or 25207 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 12431241331332 its reverse (23313314213421), we get a palindrome (35744555544753).

The spelling of 12431241331332 in words is "twelve trillion, four hundred thirty-one billion, two hundred forty-one million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 151 302 453 523 547 604 906 1046 1094 1569 1641 1812 2092 2188 3138 3282 6276 6564 23981 47962 71943 78973 82597 95924 143886 157946 165194 236919 247791 286081 287772 315892 330388 473838 495582 572162 858243 947676 991164 1144324 1716486 3432972 3621131 7242262 10863393 12542063 13117607 14484524 21726786 25084126 26235214 37626189 39352821 43198231 43453572 50168252 52470428 75252378 78705642 86396462 129594693 150504756 157411284 172792924 259189386 518378772 1893851513 1980758657 3787703026 3961517314 5681554539 5942275971 6860508461 7575406052 7923034628 11363109078 11884551942 13721016922 20581525383 22726218156 23769103884 27442033844 41163050766 82326101532 1035936777611 2071873555222 3107810332833 4143747110444 6215620665666 12431241331332