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202100020122 = 237111337909451
BaseRepresentation
bin1011110000111000011…
…0011001001110011010
3201022122200211202112110
42330032012121032122
511302400101120442
6232502104453150
720413140553440
oct2741606311632
9638580752473
10202100020122
117878a213420
1233202a7a1b6
131609a416230
149ad2d74b90
1553cc9e269c
hex2f0e19939a

202100020122 has 128 divisors (see below), whose sum is σ = 557370390528. Its totient is φ = 47145888000.

The previous prime is 202100020117. The next prime is 202100020139. The reversal of 202100020122 is 221020001202.

202100020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202100020098 and 202100020107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232504 + ... + 676947.

It is an arithmetic number, because the mean of its divisors is an integer number (4354456176).

Almost surely, 2202100020122 is an apocalyptic number.

202100020122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202100020122 is an abundant number, since it is smaller than the sum of its proper divisors (355270370406).

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

202100020122 is a wasteful number, since it uses less digits than its factorization.

202100020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909524.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202100020122 its reverse (221020001202), we get a palindrome (423120021324).

The spelling of 202100020122 in words is "two hundred two billion, one hundred million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 909451 1818902 2728353 5456706 6366157 10003961 11822863 12732314 19098471 20007922 23645726 30011883 33649687 35468589 38196942 60023766 67299374 70027727 70937178 82760041 100949061 130051493 140055454 165520082 201898122 210083181 235547809 248280123 260102986 370146557 390154479 420166362 437445931 471095618 496560246 706643427 740293114 780308958 874891862 910360451 1110439671 1312337793 1413286854 1820720902 2220879342 2591025899 2624675586 2731081353 3062121517 4811905241 5182051798 5462162706 6124243034 7773077697 9186364551 9623810482 14435715723 15546155394 18372729102 28871431446 33683336687 67366673374 101050010061 202100020122