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100430231310144 = 2633144740165409
BaseRepresentation
bin10110110101011100111100…
…010000110000111101000000
3111011121000222111102120112000
4112311130330100300331000
5101130422103203411034
6553333002240504000
730103562520012561
oct2665347420607500
9434530874376460
10100430231310144
112a00024940030a
12b32007531b000
1344066b7a46a88
141ab2bc6032168
15b9264a283599
hex5b573c430f40

100430231310144 has 112 divisors (see below), whose sum is σ = 295450329494400. Its totient is φ = 33453607661568.

The previous prime is 100430231310131. The next prime is 100430231310161. The reversal of 100430231310144 is 441013132034001.

100430231310144 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 302 + 3 + 1 + 310 + 1 + 44 = 666.

It is a super-2 number, since 2×1004302313101442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17582289 + ... + 22583120.

Almost surely, 2100430231310144 is an apocalyptic number.

It is an amenable number.

100430231310144 is an abundant number, since it is smaller than the sum of its proper divisors (195020098184256).

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

100430231310144 is a wasteful number, since it uses less digits than its factorization.

100430231310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40166877 (or 40166861 counting only the distinct ones).

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

Adding to 100430231310144 its reverse (441013132034001), we get a palindrome (541443363344145).

The spelling of 100430231310144 in words is "one hundred trillion, four hundred thirty billion, two hundred thirty-one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1447 1728 2894 4341 5788 8682 11576 13023 17364 23152 26046 34728 39069 46304 52092 69456 78138 92608 104184 138912 156276 208368 277824 312552 416736 625104 833472 1250208 2500416 40165409 80330818 120496227 160661636 240992454 321323272 361488681 481984908 642646544 722977362 963969816 1084466043 1285293088 1445954724 1927939632 2168932086 2570586176 2891909448 3855879264 4337864172 5783818896 7711758528 8675728344 11567637792 17351456688 23135275584 34702913376 58119346823 69405826752 116238693646 174358040469 232477387292 348716080938 464954774584 523074121407 697432161876 929909549168 1046148242814 1394864323752 1569222364221 1859819098336 2092296485628 2789728647504 3138444728442 3719638196672 4184592971256 5579457295008 6276889456884 8369185942512 11158914590016 12553778913768 16738371885024 25107557827536 33476743770048 50215115655072 100430231310144