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100130043213 = 37229199931
BaseRepresentation
bin101110101000000110…
…1110011010101001101
3100120110020100020000000
41131100031303111031
53120031242340323
6113555450154513
710143213216144
oct1352015632515
9316406306000
10100130043213
1139512887532
12174a5422a39
139599741aa5
144bbc43275b
152910875e43
hex175037354d

100130043213 has 32 divisors (see below), whose sum is σ = 150828700800. Its totient is φ = 66461530320.

The previous prime is 100130043157. The next prime is 100130043227. The reversal of 100130043213 is 312340031001.

100130043213 is a `hidden beast` number, since 100 + 130 + 0 + 432 + 1 + 3 = 666.

It is not a de Polignac number, because 100130043213 - 222 = 100125848909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130043253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 400858 + ... + 600788.

It is an arithmetic number, because the mean of its divisors is an integer number (4713396900).

Almost surely, 2100130043213 is an apocalyptic number.

It is an amenable number.

100130043213 is a deficient number, since it is larger than the sum of its proper divisors (50698657587).

100130043213 is an frugal number, since it uses more digits than its factorization.

100130043213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200181 (or 200163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100130043213 its reverse (312340031001), we get a palindrome (412470074214).

The spelling of 100130043213 in words is "one hundred billion, one hundred thirty million, forty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 229 243 687 729 2061 2187 6183 18549 55647 166941 199931 500823 599793 1799379 5398137 16194411 45784199 48583233 137352597 145749699 412057791 437249097 1236173373 3708520119 11125560357 33376681071 100130043213