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21020344302012 = 223115910126723449
BaseRepresentation
bin1001100011110001011100…
…01001111011100110111100
32202102112011221021112221220
410301320232021323212330
510223344131120131022
6112412340213353340
74266445504340526
oct461705611734674
982375157245856
1021020344302012
1167747503a5170
122435a72938850
13b962963969b3
145295665b2a16
15266bc26c885c
hex131e2e27b9bc

21020344302012 has 96 divisors (see below), whose sum is σ = 54951964704000. Its totient is φ = 6199839936000.

The previous prime is 21020344301993. The next prime is 21020344302077.

It is a happy number.

21020344302012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12575137 + ... + 14148312.

It is an arithmetic number, because the mean of its divisors is an integer number (572416299000).

Almost surely, 221020344302012 is an apocalyptic number.

21020344302012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21020344302012 is an abundant number, since it is smaller than the sum of its proper divisors (33931620401988).

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

21020344302012 is a wasteful number, since it uses less digits than its factorization.

21020344302012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26723627 (or 26723625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2102034 and 4302012, that added together give a palindrome (6404046).

The spelling of 21020344302012 in words is "twenty-one trillion, twenty billion, three hundred forty-four million, three hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 101 118 132 177 202 236 303 354 404 606 649 708 1111 1212 1298 1947 2222 2596 3333 3894 4444 5959 6666 7788 11918 13332 17877 23836 35754 65549 71508 131098 196647 262196 393294 786588 26723449 53446898 80170347 106893796 160340694 293957939 320681388 587915878 881873817 1175831756 1576683491 1763747634 2699068349 3153366982 3527495268 4730050473 5398136698 6306733964 8097205047 9460100946 10796273396 16194410094 17343518401 18920201892 29689751839 32388820188 34687036802 52030555203 59379503678 69374073604 89069255517 104061110406 118759007356 159245032591 178138511034 208122220812 318490065182 356277022068 477735097773 636980130364 955470195546 1751695358501 1910940391092 3503390717002 5255086075503 7006781434004 10510172151006 21020344302012