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42022401334122 = 23118211807742901
BaseRepresentation
bin10011000111000000110100…
…10011011101101101101010
312111210022011101211112200010
421203200122103131231222
521001443334220142442
6225212454043352350
711565006164536566
oct1143403223355552
9174708141745603
1042022401334122
1112431667038830
1248682812226b6
131a5a906b6b711
14a53c7613a6a6
154cd1746a1b9c
hex26381a4ddb6a

42022401334122 has 64 divisors (see below), whose sum is σ = 91804132315008. Its totient is φ = 12717550560000.

The previous prime is 42022401334099. The next prime is 42022401334139. The reversal of 42022401334122 is 22143310422024.

42022401334122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×420224013341223 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42022401334122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979498872 + ... + 979541772.

It is an arithmetic number, because the mean of its divisors is an integer number (1434439567422).

Almost surely, 242022401334122 is an apocalyptic number.

42022401334122 is an abundant number, since it is smaller than the sum of its proper divisors (49781730980886).

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

42022401334122 is a wasteful number, since it uses less digits than its factorization.

42022401334122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61815.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42022401334122 its reverse (22143310422024), we get a palindrome (64165711756146).

The spelling of 42022401334122 in words is "forty-two trillion, twenty-two billion, four hundred one million, three hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 821 1642 2463 4926 9031 18062 18077 27093 36154 42901 54186 54231 85802 108462 128703 198847 257406 397694 471911 596541 943822 1193082 1415733 2831466 14841217 29682434 35221721 44523651 70443442 89047302 105665163 163253387 211330326 326506774 387438931 489760161 774877862 775521377 979520322 1162316793 1551042754 2324633586 2326564131 4653128262 8530735147 17061470294 25592205441 51184410882 636703050517 1273406101034 1910109151551 3820218303102 7003733555687 14007467111374 21011200667061 42022401334122