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100011110120019 = 32723437122607527
BaseRepresentation
bin10110101111010110100110…
…101100010011101001010011
3111010002222011012222002210100
4112233112212230103221103
5101102040223142320034
6552412245243103443
730031364353456560
oct2657264654235123
9433088135862710
10100011110120019
112995952341884a
12b2729a6511b83
1343a6012b18467
141a9a7c6589867
15b867b9d62099
hex5af5a6b13a53

100011110120019 has 96 divisors (see below), whose sum is σ = 178765139165184. Its totient is φ = 52641172140480.

The previous prime is 100011110119969. The next prime is 100011110120059. The reversal of 100011110120019 is 910021011110001.

It is not a de Polignac number, because 100011110120019 - 241 = 97812086864467 is a prime.

It is a super-2 number, since 2×1000111101200192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011110119983 and 100011110120010.

It is not an unprimeable number, because it can be changed into a prime (100011110120059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6879967 + ... + 15727560.

It is an arithmetic number, because the mean of its divisors is an integer number (1862136866304).

Almost surely, 2100011110120019 is an apocalyptic number.

100011110120019 is a deficient number, since it is larger than the sum of its proper divisors (78754029045165).

100011110120019 is a wasteful number, since it uses less digits than its factorization.

100011110120019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22607677 (or 22607674 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 100011110120019 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twenty thousand, nineteen".

Divisors: 1 3 7 9 21 23 43 63 69 71 129 161 207 213 301 387 483 497 639 903 989 1449 1491 1633 2709 2967 3053 4473 4899 6923 8901 9159 11431 14697 20769 21371 27477 34293 62307 64113 70219 102879 192339 210657 491533 631971 1474599 4423797 22607527 67822581 158252689 203467743 474758067 519973121 972123661 1424274201 1559919363 1605134417 2916370983 3639811847 4679758089 4815403251 6804865627 8749112949 10919435541 11235940919 14446209753 20414596881 22358844203 32758306623 33707822757 36918091591 61243790643 67076532609 69020779931 101123468271 110754274773 156511909421 201229597827 207062339793 258426641137 332262824319 469535728263 483145459517 621187019379 775279923411 1408607184789 1449436378551 1587477938413 2325839770233 4348309135653 4762433815239 11112345568891 14287301445717 33337036706673 100011110120019