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100434011364 = 223222613123373
BaseRepresentation
bin101110110001001010…
…1010110010011100100
3100121020102022101220200
41131202111112103210
53121142101330424
6114045545230500
710153564003521
oct1354225262344
9317212271820
10100434011364
1139659421285
121756b192430
1396176cbabb
144c0a95a148
15292c3ba8c9
hex17625564e4

100434011364 has 36 divisors (see below), whose sum is σ = 253888146876. Its totient is φ = 33476251968.

The previous prime is 100434011341. The next prime is 100434011387. The reversal of 100434011364 is 463110434001.

It is an interprime number because it is at equal distance from previous prime (100434011341) and next prime (100434011387).

It can be written as a sum of positive squares in 2 ways, for example, as 45868788900 + 54565222464 = 214170^2 + 233592^2 .

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

It is a super-2 number, since 2×1004340113642 (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, 752382 + ... + 875754.

Almost surely, 2100434011364 is an apocalyptic number.

It is an amenable number.

100434011364 is an abundant number, since it is smaller than the sum of its proper divisors (153454135512).

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

100434011364 is a wasteful number, since it uses less digits than its factorization.

100434011364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145996 (or 145991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100434011364 its reverse (463110434001), we get a palindrome (563544445365).

The spelling of 100434011364 in words is "one hundred billion, four hundred thirty-four million, eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 22613 45226 67839 90452 123373 135678 203517 246746 271356 370119 407034 493492 740238 814068 1110357 1480476 2220714 4441428 2789833649 5579667298 8369500947 11159334596 16739001894 25108502841 33478003788 50217005682 100434011364