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100110011111110 = 257111317955871509
BaseRepresentation
bin10110110000110010101101…
…101001101001011011000110
3111010110102102210122000020101
4112300302231221221123012
5101110200300321023420
6552525523150354314
730041465254150510
oct2660625551513306
9433412383560211
10100110011111110
1129997465456220
12b289ba81bb99a
1343b2444a33370
141aa14c9688bb0
15b8915785e60a
hex5b0cada696c6

100110011111110 has 128 divisors (see below), whose sum is σ = 243295842585600. Its totient is φ = 28641969861120.

The previous prime is 100110011111107. The next prime is 100110011111137. The reversal of 100110011111110 is 11111110011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 26143965 + ... + 29727544.

It is an arithmetic number, because the mean of its divisors is an integer number (1900748770200).

Almost surely, 2100110011111110 is an apocalyptic number.

100110011111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110011111110 is an abundant number, since it is smaller than the sum of its proper divisors (143185831474490).

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

100110011111110 is a wasteful number, since it uses less digits than its factorization.

100110011111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55871726.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100110011111110 its reverse (11111110011001), we get a palindrome (111221121122111).

It can be divided in two parts, 10011001 and 1111110, that added together give a palindrome (11122111).

The spelling of 100110011111110 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 179 182 286 358 385 455 715 770 895 910 1001 1253 1430 1790 1969 2002 2327 2506 3938 4654 5005 6265 9845 10010 11635 12530 13783 16289 19690 23270 25597 27566 32578 51194 68915 81445 127985 137830 162890 179179 255970 358358 895895 1791790 55871509 111743018 279357545 391100563 558715090 614586599 726329617 782201126 1229173198 1452659234 1955502815 3072932995 3631648085 3911005630 4302106193 5084307319 6145865990 7263296170 7989625787 8604212386 10001000111 10168614638 15979251574 20002000222 21510530965 25421536595 39948128935 43021061930 50005000555 50843073190 55927380509 70007000777 79896257870 100010001110 110011001221 111854761018 130013001443 140014001554 220022002442 260026002886 279636902545 350035003885 550055006105 559273805090 650065007215 700070007770 770077008547 910091010101 1100110012210 1300130014430 1430143015873 1540154017094 1820182020202 2860286031746 3850385042735 4550455050505 7150715079365 7700770085470 9100910101010 10011001111111 14301430158730 20022002222222 50055005555555 100110011111110