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100100100011100 = 22352726809530613
BaseRepresentation
bin10110110000101001011110…
…111001110011010001011100
3111010102110212002010221222020
4112300221132321303101130
5101110020001100323400
6552521203501220140
730040664536200300
oct2660513671632134
9433373762127866
10100100100011100
1129993239941082
12b2880a0b61650
1343b15255a1247
141aa0c29267d00
15b88c776b22a0
hex5b0a5ee7345c

100100100011100 has 108 divisors (see below), whose sum is σ = 336908336658264. Its totient is φ = 22880022856320.

The previous prime is 100100100011053. The next prime is 100100100011101. The reversal of 100100100011100 is 1110001001001.

100100100011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100011101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3404750607 + ... + 3404780006.

Almost surely, 2100100100011100 is an apocalyptic number.

100100100011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100100011100 is an abundant number, since it is smaller than the sum of its proper divisors (236808236647164).

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

100100100011100 is a wasteful number, since it uses less digits than its factorization.

100100100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809530644 (or 6809530630 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100100011100 its reverse (1110001001001), we get a palindrome (101210101012101).

The spelling of 100100100011100 in words is "one hundred trillion, one hundred billion, one hundred million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 6809530613 13619061226 20428591839 27238122452 34047653065 40857183678 47666714291 68095306130 81714367356 95333428582 102142959195 136190612260 143000142873 170238265325 190666857164 204285918390 238333571455 286000285746 333667000037 340476530650 408571836780 476667142910 510714795975 572000571492 667334000074 680953061300 715000714365 953334285820 1001001000111 1021429591950 1191667857275 1334668000148 1430001428730 1668335000185 2002002000222 2042859183900 2383335714550 2860002857460 3336670000370 3575003571825 4004004000444 4766671429100 5005005000555 6673340000740 7150007143650 8341675000925 10010010001110 14300014287300 16683350001850 20020020002220 25025025002775 33366700003700 50050050005550 100100100011100