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100100100111100 = 225223353419294251
BaseRepresentation
bin10110110000101001011110…
…111010001011101011111100
3111010102110212002100001010221
4112300221132322023223330
5101110020001112023400
6552521203503311124
730040664540064655
oct2660513672135374
9433373762301127
10100100100111100
11299932399aa221
12b2880a0bab4a4
1343b152560790b
141aa0c2929252c
15b88c776d1c1a
hex5b0a5ee8bafc

100100100111100 has 144 divisors (see below), whose sum is σ = 227846809370880. Its totient is φ = 38099395840000.

The previous prime is 100100100111019. The next prime is 100100100111113. The reversal of 100100100111100 is 1111001001001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340038975 + ... + 340333225.

It is an arithmetic number, because the mean of its divisors is an integer number (1582269509520).

Almost surely, 2100100100111100 is an apocalyptic number.

100100100111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100100111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113923404685440).

100100100111100 is an abundant number, since it is smaller than the sum of its proper divisors (127746709259780).

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

100100100111100 is a wasteful number, since it uses less digits than its factorization.

100100100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295060 (or 295053 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100100100111100 its reverse (1111001001001), we get a palindrome (101211101112101).

The spelling of 100100100111100 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 353 419 460 575 706 838 1150 1412 1676 1765 2095 2300 3530 4190 7060 8119 8380 8825 9637 10475 16238 17650 19274 20950 32476 35300 38548 40595 41900 48185 81190 96370 147907 162380 192740 202975 240925 294251 295814 405950 481850 588502 591628 739535 811900 963700 1177004 1471255 1479070 2942510 2958140 3401861 3697675 5885020 6767773 6803722 7356275 7395350 13535546 13607444 14712550 14790700 17009305 27071092 29425100 33838865 34018610 67677730 68037220 85046525 103870603 123291169 135355460 169194325 170093050 207741206 246582338 338388650 340186100 415482412 493164676 519353015 616455845 676777300 1038706030 1232911690 2077412060 2389023869 2465823380 2596765075 2835696887 3082279225 4778047738 5193530150 5671393774 6164558450 9556095476 10387060300 11342787548 11945119345 12329116900 14178484435 23890238690 28356968870 43521782657 47780477380 56713937740 59725596725 70892422175 87043565314 119451193450 141784844350 174087130628 217608913285 238902386900 283569688700 435217826570 870435653140 1001001001111 1088044566425 2002002002222 2176089132850 4004004004444 4352178265700 5005005005555 10010010011110 20020020022220 25025025027775 50050050055550 100100100111100