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12313020001320 = 23325193771685249
BaseRepresentation
bin1011001100101101100100…
…1011101110110000101000
31121121010001112102201122200
42303023121023232300220
53103214031110020240
642104305011020200
72410405054065363
oct263133113566050
947533045381580
1012313020001320
113a17a16877875
12146a41959a660
136b4160aa408c
14307d4bdb50da
15165453682930
hexb32d92eec28

12313020001320 has 384 divisors, whose sum is σ = 43871349600000. Its totient is φ = 2983953530880.

The previous prime is 12313020001319. The next prime is 12313020001411. The reversal of 12313020001320 is 2310002031321.

12313020001320 is a `hidden beast` number, since 1 + 231 + 302 + 0 + 0 + 0 + 132 + 0 = 666.

12313020001320 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 2×123130200013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12313020001293 and 12313020001302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17626056 + ... + 18311304.

It is an arithmetic number, because the mean of its divisors is an integer number (114248306250).

Almost surely, 212313020001320 is an apocalyptic number.

12313020001320 is a gapful number since it is divisible by the number (10) 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 12313020001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935674800000).

12313020001320 is an abundant number, since it is smaller than the sum of its proper divisors (31558329598680).

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

12313020001320 is a wasteful number, since it uses less digits than its factorization.

12313020001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685393 (or 685386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313020001320 its reverse (2310002031321), we get a palindrome (14623022032641).

The spelling of 12313020001320 in words is "twelve trillion, three hundred thirteen billion, twenty million, one thousand, three hundred twenty".