Search a number
-
+
100914550956 = 223223121877477
BaseRepresentation
bin101110111111011111…
…0011101100010101100
3100122110220112100022100
41131332332131202230
53123133111112311
6114205353015100
710201520346552
oct1357676354254
9318426470270
10100914550956
11398856a683a
12176840b4490
13969312c25b
144c546c7bd2
15295968ca56
hex177ef9d8ac

100914550956 has 36 divisors (see below), whose sum is σ = 266180411952. Its totient is φ = 32175653664.

The previous prime is 100914550879. The next prime is 100914550967. The reversal of 100914550956 is 659055419001.

It is a happy number.

100914550956 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 4 + 550 + 95 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1009145509562 (a number of 23 digits) contains 22 as substring.

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, 60937911 + ... + 60939566.

It is an arithmetic number, because the mean of its divisors is an integer number (7393900332).

Almost surely, 2100914550956 is an apocalyptic number.

It is an amenable number.

100914550956 is an abundant number, since it is smaller than the sum of its proper divisors (165265860996).

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

100914550956 is a wasteful number, since it uses less digits than its factorization.

100914550956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121877510 (or 121877505 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

Adding to 100914550956 its reverse (659055419001), we get a palindrome (759969969957).

The spelling of 100914550956 in words is "one hundred billion, nine hundred fourteen million, five hundred fifty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 121877477 243754954 365632431 487509908 731264862 1096897293 1462529724 2193794586 2803181971 4387589172 5606363942 8409545913 11212727884 16819091826 25228637739 33638183652 50457275478 100914550956