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100101110110110 = 232529263145828577
BaseRepresentation
bin10110110000101010011011…
…000111000001011110011110
3111010102120110110211022022200
4112300222123013001132132
5101110024033142010420
6552521452023152330
730041031552662334
oct2660523307013636
9433376413738280
10100101110110110
112999370803244a
12b2883232a56a6
1343b1656936075
141aa0cc3483b54
15b88cd61dab90
hex5b0a9b1c179e

100101110110110 has 96 divisors (see below), whose sum is σ = 270261187035840. Its totient is φ = 25675162404864.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110110 is 11011011101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101110110092 and 100101110110101.

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, 72227859 + ... + 73600718.

It is an arithmetic number, because the mean of its divisors is an integer number (2815220698290).

Almost surely, 2100101110110110 is an apocalyptic number.

100101110110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101110110110 is an abundant number, since it is smaller than the sum of its proper divisors (170160076925730).

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

100101110110110 is a wasteful number, since it uses less digits than its factorization.

100101110110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145828882 (or 145828879 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101110110110 its reverse (11011011101001), we get a palindrome (111112121211111).

The spelling of 100101110110110 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 263 290 435 522 526 789 870 1305 1315 1578 2367 2610 2630 3945 4734 7627 7890 11835 15254 22881 23670 38135 45762 68643 76270 114405 137286 228810 343215 686430 145828577 291657154 437485731 729142885 874971462 1312457193 1458285770 2187428655 2624914386 4229028733 4374857310 6562285965 8458057466 12687086199 13124571930 21145143665 25374172398 38061258597 38352915751 42290287330 63435430995 76122517194 76705831502 115058747253 126870861990 190306292985 191764578755 230117494506 345176241759 380612585970 383529157510 575293736265 690352483518 1112234556779 1150587472530 1725881208795 2224469113558 3336703670337 3451762417590 5561172783895 6673407340674 10010111011011 11122345567790 16683518351685 20020222022022 33367036703370 50050555055055 100101110110110