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20101111110102 = 23113745197182123
BaseRepresentation
bin1001001001000001001111…
…00101100101100111010110
32122011122110222212002102110
410210200213211211213112
510113314033421010402
6110430153432051450
74143154162205301
oct444404745454726
978148428762373
1020101111110102
11644a919206650
122307891533b86
13b2a6b0064079
144d6c82aadb38
1524cd218ed56c
hex1248279659d6

20101111110102 has 64 divisors (see below), whose sum is σ = 45043537100544. Its totient is φ = 5926453856640.

The previous prime is 20101111110083. The next prime is 20101111110107.

20101111110102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101111110107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110280013 + ... + 110462135.

It is an arithmetic number, because the mean of its divisors is an integer number (703805267196).

Almost surely, 220101111110102 is an apocalyptic number.

20101111110102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20101111110102 is an abundant number, since it is smaller than the sum of its proper divisors (24942425990442).

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

20101111110102 is a wasteful number, since it uses less digits than its factorization.

20101111110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227373.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2010111 and 1110102, that multiplied together give a palindrome (2231428241322).

The spelling of 20101111110102 in words is "twenty trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 45197 90394 135591 182123 271182 364246 497167 546369 994334 1092738 1491501 1672289 2003353 2983002 3344578 4006706 5016867 6010059 6738551 10033734 12020118 13477102 18395179 20215653 36790358 40431306 55185537 74124061 110371074 148248122 222372183 444744366 8231413231 16462826462 24694239693 49388479386 90545545541 181091091082 271636636623 304562289547 543273273246 609124579094 913686868641 1827373737282 3350185185017 6700370370034 10050555555051 20101111110102