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20104022040102 = 232711131115774339
BaseRepresentation
bin1001001001000110101010…
…00101111001111000100110
32122011220222212021122200200
410210203111011321320212
510113341014120240402
6110431354335251330
74143316256540550
oct444432505717046
978156885248620
1020104022040102
116451082370420
122308364379b46
13b2aa55160a60
144d707b52c4d0
1524ce4224b21c
hex1248d5179e26

20104022040102 has 96 divisors (see below), whose sum is σ = 58484427805440. Its totient is φ = 4820145140160.

The previous prime is 20104022040061. The next prime is 20104022040119.

20104022040102 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 40 + 220 + 401 + 0 + 2 = 666.

20104022040102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557869152 + ... + 557905187.

It is an arithmetic number, because the mean of its divisors is an integer number (609212789640).

Almost surely, 220104022040102 is an apocalyptic number.

20104022040102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20104022040102 is an abundant number, since it is smaller than the sum of its proper divisors (38380405765338).

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

20104022040102 is a wasteful number, since it uses less digits than its factorization.

20104022040102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115774378 (or 1115774375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2010402 and 2040102, that added together give a palindrome (4050504).

The spelling of 20104022040102 in words is "twenty trillion, one hundred four billion, twenty-two million, forty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 1115774339 2231548678 3347323017 6694646034 7810420373 10041969051 12273517729 14505066407 15620840746 20083938102 23431261119 24547035458 29010132814 36820553187 43515199221 46862522238 70293783357 73641106374 85914624103 87030398442 101535464849 110461659561 130545597663 140587566714 159555730477 171829248206 203070929698 220923319122 257743872309 261091195326 304606394547 319111460954 478667191431 515487744618 609212789094 773231616927 913819183641 957334382862 1116890113339 1436001574293 1546463233854 1827638367282 2233780226678 2872003148586 3350670340017 6701340680034 10052011020051 20104022040102