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53112100105 = 5371132540641
BaseRepresentation
bin110001011101101110…
…100101010100001001
312002002110210020101201
4301131232211110021
51332233144200410
640222132344201
73560111254621
oct613556452411
9162073706351
1053112100105
1120585439a09
12a363175061
13501574348c
1427dbb97881
1515acbcd83a
hexc5dba5509

53112100105 has 16 divisors (see below), whose sum is σ = 66036366864. Its totient is φ = 40975441920.

The previous prime is 53112100103. The next prime is 53112100123. The reversal of 53112100105 is 50100121135.

53112100105 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 8 ways, for example, as 6650728704 + 46461371401 = 81552^2 + 215549^2 .

It is not a de Polignac number, because 53112100105 - 21 = 53112100103 is a prime.

It is a super-2 number, since 2×531121001052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53112100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249416 + ... + 1291225.

It is an arithmetic number, because the mean of its divisors is an integer number (4127272929).

Almost surely, 253112100105 is an apocalyptic number.

It is an amenable number.

53112100105 is a deficient number, since it is larger than the sum of its proper divisors (12924266759).

53112100105 is a wasteful number, since it uses less digits than its factorization.

53112100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540796.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 53112100105 in words is "fifty-three billion, one hundred twelve million, one hundred thousand, one hundred five".

Divisors: 1 5 37 113 185 565 4181 20905 2540641 12703205 94003717 287092433 470018585 1435462165 10622420021 53112100105