Search a number
-
+
100111111000089 = 372731372497051
BaseRepresentation
bin10110110000110011101111…
…001101011001000000011001
3111010110112021110021011021020
4112300303233031121000121
5101110210023404000324
6552530224241033053
730041534441102100
oct2660635715310031
9433415243234236
10100111111000089
112999797a2a5082
12b28a254625789
1343b258b875647
141aa1591799037
15b891be1c2679
hex5b0cef359019

100111111000089 has 72 divisors (see below), whose sum is σ = 158559043231008. Its totient is φ = 56010743308800.

The previous prime is 100111111000067. The next prime is 100111111000091. The reversal of 100111111000089 is 980000111111001.

It is not a de Polignac number, because 100111111000089 - 25 = 100111111000057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111111000189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201161614 + ... + 201658664.

It is an arithmetic number, because the mean of its divisors is an integer number (2202208933764).

Almost surely, 2100111111000089 is an apocalyptic number.

It is an amenable number.

100111111000089 is a deficient number, since it is larger than the sum of its proper divisors (58447932230919).

100111111000089 is an equidigital number, since it uses as much as digits as its factorization.

100111111000089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497415 (or 497271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 24.

The spelling of 100111111000089 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eighty-nine", and thus it is an aban number.

Divisors: 1 3 7 21 49 73 137 147 219 411 511 959 1533 2877 3577 6713 10001 10731 18769 20139 30003 56307 70007 131383 210021 394149 490049 497051 919681 1370137 1470147 1491153 2759043 3479357 4110411 9590959 10438071 24355499 28772877 36284723 67136713 68095987 73066497 108854169 201410139 204287961 253993061 476671909 761979183 1430015727 1777951427 3336703363 4971007051 5333854281 9329150219 10010110089 14913021153 27987450657 34797049357 65304051533 104391148071 195912154599 243579345499 457128360731 681027965987 730738036497 1371385082193 2043083897961 4767195761909 14301587285727 33370370333363 100111111000089