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101120112200023 = 7172121494114349
BaseRepresentation
bin10110111111011111011100…
…010111100000100101010111
3111021000222200111000220202121
4112333133130113200211113
5101223222442210400043
6555021534354320411
730204454434560410
oct2677373427404527
9437028614026677
10101120112200023
112a246887160784
12b411908b89107
13445677c921697
141ad834d44a807
15ba5575ca0ded
hex5bf7dc5e0957

101120112200023 has 24 divisors (see below), whose sum is σ = 122773849740000. Its totient is φ = 81569154390528.

The previous prime is 101120112199979. The next prime is 101120112200147. The reversal of 101120112200023 is 320002211021101.

It is not a de Polignac number, because 101120112200023 - 221 = 101120110102871 is a prime.

It is a super-2 number, since 2×1011201122000232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120112206023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22520253 + ... + 26634601.

It is an arithmetic number, because the mean of its divisors is an integer number (5115577072500).

Almost surely, 2101120112200023 is an apocalyptic number.

101120112200023 is a deficient number, since it is larger than the sum of its proper divisors (21653737539977).

101120112200023 is a wasteful number, since it uses less digits than its factorization.

101120112200023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126539 (or 4126522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101120112200023 its reverse (320002211021101), we get a palindrome (421122323221124).

The spelling of 101120112200023 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand, twenty-three".

Divisors: 1 7 17 119 289 2023 12149 85043 206533 1445731 3511061 4114349 24577427 28800443 69943933 489607531 1189046861 8323328027 49985226001 349896582007 849748842017 5948241894119 14445730314289 101120112200023