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10053131137146 = 232558507285397
BaseRepresentation
bin1001001001001010110101…
…0011110111000001111010
31022121001212222211200010200
42102102231103313001322
52304202303032342041
633214202241423030
72055212650510626
oct222225523670172
938531788750120
1010053131137146
113226566495819
12116444533aa76
1357c010805a06
1426a807640186
151267896321b6
hex924ad4f707a

10053131137146 has 12 divisors (see below), whose sum is σ = 21781784130522. Its totient is φ = 3351043712376.

The previous prime is 10053131137081. The next prime is 10053131137267. The reversal of 10053131137146 is 64173113135001.

10053131137146 is a `hidden beast` number, since 1 + 0 + 0 + 531 + 3 + 1 + 13 + 71 + 46 = 666.

10053131137146 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 only one way, i.e., 9443396606121 + 609734531025 = 3073011^2 + 780855^2 .

It is a super-2 number, since 2×100531311371462 (a number of 27 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 10053131137146.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279253642681 + ... + 279253642716.

Almost surely, 210053131137146 is an apocalyptic number.

10053131137146 is an abundant number, since it is smaller than the sum of its proper divisors (11728652993376).

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

10053131137146 is a wasteful number, since it uses less digits than its factorization.

10053131137146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558507285405 (or 558507285402 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10053131137146 in words is "ten trillion, fifty-three billion, one hundred thirty-one million, one hundred thirty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 558507285397 1117014570794 1675521856191 3351043712382 5026565568573 10053131137146