Search a number
-
+
102535551244305 = 3252278567805429
BaseRepresentation
bin10111010100000101101011…
…000110111101100000010001
3111110001022011212022102110100
4113110011223012331200101
5101414420302104304210
61002024103145323013
730411643355126364
oct2724055306754021
9443038155272410
10102535551244305
112a7420a06434a3
12b6000b0796469
13452a0a40066ca
141b46a662c60db
15bcc2b954c5c0
hex5d416b1bd811

102535551244305 has 12 divisors (see below), whose sum is σ = 177728288823540. Its totient is φ = 54685627330272.

The previous prime is 102535551244283. The next prime is 102535551244349. The reversal of 102535551244305 is 503442155535201.

102535551244305 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 55 + 51 + 244 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14706734124096 + 87828817120209 = 3834936^2 + 9371703^2 .

It is not a de Polignac number, because 102535551244305 - 239 = 101985795430417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2278567805429 = 102535551244305 / (1 + 0 + 2 + 5 + 3 + 5 + 5 + 5 + 1 + 2 + 4 + 4 + 3 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1139283902670 + ... + 1139283902759.

It is an arithmetic number, because the mean of its divisors is an integer number (14810690735295).

Almost surely, 2102535551244305 is an apocalyptic number.

102535551244305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102535551244305 is a deficient number, since it is larger than the sum of its proper divisors (75192737579235).

102535551244305 is a wasteful number, since it uses less digits than its factorization.

102535551244305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278567805440 (or 2278567805437 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 102535551244305 in words is "one hundred two trillion, five hundred thirty-five billion, five hundred fifty-one million, two hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 45 2278567805429 6835703416287 11392839027145 20507110248861 34178517081435 102535551244305