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100010001011100 = 223523759152710339
BaseRepresentation
bin10110101111010101100100…
…100101011001000110011100
3111010002212021220222112101020
4112233111210211121012130
5101102030440224323400
6552411543223044140
730031325025265065
oct2657254445310634
9433085256875336
10100010001011100
1129959004351904
12b272736ba0650
1343a5b970c86ab
141a9a71d15956c
15b867527cc2a0
hex5af56495919c

100010001011100 has 144 divisors (see below), whose sum is σ = 302219871273600. Its totient is φ = 25508734859520.

The previous prime is 100010001011071. The next prime is 100010001011131. The reversal of 100010001011100 is 1110100010001.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75700270 + ... + 77010069.

Almost surely, 2100010001011100 is an apocalyptic number.

100010001011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010001011100 is an abundant number, since it is smaller than the sum of its proper divisors (202209870262500).

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

100010001011100 is a wasteful number, since it uses less digits than its factorization.

100010001011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152710452 (or 152710445 counting only the distinct ones).

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

Adding to 100010001011100 its reverse (1110100010001), we get a palindrome (101120101021101).

The spelling of 100010001011100 in words is "one hundred trillion, ten billion, one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 59 60 74 75 100 111 118 148 150 177 185 222 236 295 300 354 370 444 555 590 708 740 885 925 1110 1180 1475 1770 1850 2183 2220 2775 2950 3540 3700 4366 4425 5550 5900 6549 8732 8850 10915 11100 13098 17700 21830 26196 32745 43660 54575 65490 109150 130980 163725 218300 327450 654900 152710339 305420678 458131017 610841356 763551695 916262034 1527103390 1832524068 2290655085 3054206780 3817758475 4581310170 5650282543 7635516950 9009910001 9162620340 11300565086 11453275425 15271033900 16950847629 18019820002 22601130172 22906550850 27029730003 28251412715 33901695258 36039640004 45049550005 45813101700 54059460006 56502825430 67803390516 84754238145 90099100010 108118920012 113005650860 135148650015 141257063575 169508476290 180198200020 225247750025 270297300030 282514127150 333366670037 339016952580 423771190725 450495500050 540594600060 565028254300 666733340074 675743250075 847542381450 900991000100 1000100010111 1333466680148 1351486500150 1666833350185 1695084762900 2000200020222 2702973000300 3333666700370 4000400040444 5000500050555 6667333400740 8334166750925 10001000101110 16668333501850 20002000202220 25002500252775 33336667003700 50005000505550 100010001011100