Search a number
-
+
103653506412 = 2233959754689
BaseRepresentation
bin110000010001000111…
…0101111110101101100
3100220112210100200212000
41200202032233311230
53144240244201122
6115341234212300
710326426160461
oct1404216576554
9326483320760
10103653506412
113aa6077a595
1218109424090
139a0b704c61
14503437b668
152a69d6a0ac
hex18223afd6c

103653506412 has 24 divisors (see below), whose sum is σ = 268731313200. Its totient is φ = 34551168768.

The previous prime is 103653506387. The next prime is 103653506459. The reversal of 103653506412 is 214605356301.

103653506412 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 3 + 5 + 0 + 641 + 2 = 666.

It is a super-2 number, since 2×1036535064122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479877237 + ... + 479877452.

It is an arithmetic number, because the mean of its divisors is an integer number (11197138050).

Almost surely, 2103653506412 is an apocalyptic number.

103653506412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103653506412 is an abundant number, since it is smaller than the sum of its proper divisors (165077806788).

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

103653506412 is a wasteful number, since it uses less digits than its factorization.

103653506412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959754702 (or 959754694 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 103653506412 in words is "one hundred three billion, six hundred fifty-three million, five hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 959754689 1919509378 2879264067 3839018756 5758528134 8637792201 11517056268 17275584402 25913376603 34551168804 51826753206 103653506412