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100314034344 = 23321393250477
BaseRepresentation
bin101110101101100101…
…1101011000010101000
3100120221001112221101100
41131123023223002220
53120420343044334
6114030021521400
710150606136346
oct1353313530250
9316831487340
10100314034344
11395a7725817
1217536b73260
1395c88b2494
144bd8a48996
152921abbc99
hex175b2eb0a8

100314034344 has 24 divisors (see below), whose sum is σ = 271683843210. Its totient is φ = 33438011424.

The previous prime is 100314034339. The next prime is 100314034363. The reversal of 100314034344 is 443430413001.

100314034344 is a `hidden beast` number, since 1 + 0 + 0 + 314 + 0 + 3 + 4 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93353469444 + 6960564900 = 305538^2 + 83430^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 696625167 + ... + 696625310.

Almost surely, 2100314034344 is an apocalyptic number.

It is an amenable number.

100314034344 is an abundant number, since it is smaller than the sum of its proper divisors (171369808866).

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

100314034344 is a wasteful number, since it uses less digits than its factorization.

100314034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393250489 (or 1393250482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100314034344 its reverse (443430413001), we get a palindrome (543744447345).

The spelling of 100314034344 in words is "one hundred billion, three hundred fourteen million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1393250477 2786500954 4179751431 5573001908 8359502862 11146003816 12539254293 16719005724 25078508586 33438011448 50157017172 100314034344