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13121313022120 = 2352409971361149
BaseRepresentation
bin1011111011110000101100…
…1100111010000010101000
31201110101101212100120111211
42332330023030322002220
53204434422113201440
643523503055402504
72522661240311542
oct276741314720250
951411355316454
1013121313022120
1141a9799146866
12157abb9223434
13742446bb9a44
143351098bc692
1517b4aea50eea
hexbef0b33a0a8

13121313022120 has 32 divisors (see below), whose sum is σ = 29523098493000. Its totient is φ = 5248499574528.

The previous prime is 13121313022099. The next prime is 13121313022163. The reversal of 13121313022120 is 2122031312131.

13121313022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10850185657444 + 2271127364676 = 3293962^2 + 1507026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13121313022091 and 13121313022100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8959306 + ... + 10320454.

Almost surely, 213121313022120 is an apocalyptic number.

13121313022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121313022120 is an abundant number, since it is smaller than the sum of its proper divisors (16401785470880).

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

13121313022120 is a wasteful number, since it uses less digits than its factorization.

13121313022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602157 (or 1602153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13121313022120 its reverse (2122031312131), we get a palindrome (15243344334251).

The spelling of 13121313022120 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 240997 481994 963988 1204985 1361149 1927976 2409970 2722298 4819940 5444596 6805745 9639880 10889192 13611490 27222980 54445960 328032825553 656065651106 1312131302212 1640164127765 2624262604424 3280328255530 6560656511060 13121313022120