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100002100194 = 232171132892073
BaseRepresentation
bin101110100100010010…
…1101111001111100010
3100120010022121001011200
41131020211233033202
53114301014201234
6113535040022030
710140100553343
oct1351045571742
9316108531150
10100002100194
113945763aaa7
121746a601916
139579096669
144ba944a0ca
152904501d99
hex174896f3e2

100002100194 has 48 divisors (see below), whose sum is σ = 231446898072. Its totient is φ = 31095558144.

The previous prime is 100002100141. The next prime is 100002100217. The reversal of 100002100194 is 491001200001.

It can be written as a sum of positive squares in 4 ways, for example, as 32965122969 + 67036977225 = 181563^2 + 258915^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411459 + ... + 1480614.

Almost surely, 2100002100194 is an apocalyptic number.

100002100194 is an abundant number, since it is smaller than the sum of its proper divisors (131444797878).

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

100002100194 is a wasteful number, since it uses less digits than its factorization.

100002100194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892211 (or 2892208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100002100194 its reverse (491001200001), we get a palindrome (591003300195).

The spelling of 100002100194 in words is "one hundred billion, two million, one hundred thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 5763 11526 17289 34578 2892073 5784146 8676219 17352438 26028657 49165241 52057314 98330482 147495723 294991446 326804249 442487169 653608498 884974338 980412747 1960825494 2941238241 5555672233 5882476482 11111344466 16667016699 33334033398 50001050097 100002100194