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100208967364 = 22112143892
BaseRepresentation
bin101110101010011101…
…0110111111011000100
3100120122201211222120201
41131110322313323010
53120211443423424
6114011345540244
710145162111542
oct1352472677304
9316581758521
10100208967364
1139553393400
1217507944684
1395acbb657c
144bc8ad8d92
152917765d44
hex1754eb7ec4

100208967364 has 27 divisors (see below), whose sum is σ = 192770728941. Its totient is φ = 45546365040.

The previous prime is 100208967311. The next prime is 100208967389. The reversal of 100208967364 is 463769802001.

The square root of 100208967364 is 316558.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28406405764 + 71802561600 = 168542^2 + 267960^2 .

It is a super-3 number, since 3×1002089673643 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6957082 + ... + 6971470.

Almost surely, 2100208967364 is an apocalyptic number.

100208967364 is the 316558-th square number.

It is an amenable number.

100208967364 is a deficient number, since it is larger than the sum of its proper divisors (92561761577).

100208967364 is an frugal number, since it uses more digits than its factorization.

100208967364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28804 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

It can be divided in two parts, 1002089 and 67364, that added together give a triangular number (1069453 = T1462).

The spelling of 100208967364 in words is "one hundred billion, two hundred eight million, nine hundred sixty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 484 14389 28778 57556 158279 316558 633116 1741069 3482138 6964276 207043321 414086642 828173284 2277476531 4554953062 9109906124 25052241841 50104483682 100208967364