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100000111100010 = 235114317594006381
BaseRepresentation
bin10110101111001100010111…
…000110011000000001101010
3111010001220202200100222211220
4112233030113012120001222
5101101400211420200020
6552403230012002510
730030524655365052
oct2657142706300152
9433056680328756
10100000111100010
112995489979a270
12b270836a60436
1343a4c7c174bb4
141a9a061892562
15b86374418240
hex5af31719806a

100000111100010 has 128 divisors (see below), whose sum is σ = 268059647877120. Its totient is φ = 23665205894400.

The previous prime is 100000111099997. The next prime is 100000111100063. The reversal of 100000111100010 is 10001111000001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22957020 + ... + 26963400.

It is an arithmetic number, because the mean of its divisors is an integer number (2094215999040).

Almost surely, 2100000111100010 is an apocalyptic number.

100000111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000111100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134029823938560).

100000111100010 is an abundant number, since it is smaller than the sum of its proper divisors (168059536777110).

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

100000111100010 is a wasteful number, since it uses less digits than its factorization.

100000111100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008204.

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

Adding to 100000111100010 its reverse (10001111000001), we get a palindrome (110001222100011).

The spelling of 100000111100010 in words is "one hundred trillion, one hundred eleven million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 1759 2365 2838 3518 4730 5277 7095 8795 10554 14190 17590 19349 26385 38698 52770 58047 75637 96745 116094 151274 193490 226911 290235 378185 453822 580470 756370 832007 1134555 1664014 2269110 2496021 4006381 4160035 4992042 8012762 8320070 12019143 12480105 20031905 24038286 24960210 40063810 44070191 60095715 88140382 120191430 132210573 172274383 220350955 264421146 344548766 440701910 516823149 661052865 861371915 1033646298 1322105730 1722743830 1895018213 2584115745 3790036426 5168231490 5685054639 7047224179 9475091065 11370109278 14094448358 18950182130 21141672537 28425273195 35236120895 42283345074 56850546390 70472241790 77519465969 105708362685 155038931938 211416725370 232558397907 303030639697 387597329845 465116795814 606061279394 775194659690 909091919091 1162791989535 1515153198485 1818183838182 2325583979070 3030306396970 3333337036667 4545459595455 6666674073334 9090919190910 10000011110001 16666685183335 20000022220002 33333370366670 50000055550005 100000111100010