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42122032204131 = 32111733997736181
BaseRepresentation
bin10011001001111010011001…
…10001000100100101100011
312112010211022211220010202200
421210331030301010211203
521010111410221013011
6225330332222544243
711605134140134425
oct1144751461044543
9175124284803680
1042122032204131
111246a943073020
124883647438083
131a67124057839
14a58a08150815
154d0a562c4856
hex264f4cc44963

42122032204131 has 48 divisors (see below), whose sum is σ = 70280633505888. Its totient is φ = 24026088268800.

The previous prime is 42122032204099. The next prime is 42122032204139. The reversal of 42122032204131 is 13140223022124.

42122032204131 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 20 + 3 + 220 + 413 + 1 = 666.

It is not a de Polignac number, because 42122032204131 - 25 = 42122032204099 is a prime.

It is a super-2 number, since 2×421220322041312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42122032204095 and 42122032204104.

It is not an unprimeable number, because it can be changed into a prime (42122032204139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56848861 + ... + 57585041.

It is an arithmetic number, because the mean of its divisors is an integer number (1464179864706).

Almost surely, 242122032204131 is an apocalyptic number.

42122032204131 is a deficient number, since it is larger than the sum of its proper divisors (28158601301757).

42122032204131 is a wasteful number, since it uses less digits than its factorization.

42122032204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770212 (or 770209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42122032204131 its reverse (13140223022124), we get a palindrome (55262255226255).

The spelling of 42122032204131 in words is "forty-two trillion, one hundred twenty-two billion, thirty-two million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 33997 101991 305973 373967 577949 736181 1121901 1733847 2208543 3365703 5201541 6357439 6625629 8097991 12515077 19072317 24293973 37545231 57216951 72881919 112635693 137665847 412997541 1238992623 25027945457 75083836371 225251509113 275307400027 425475072769 825922200081 1276425218307 2477766600243 3829275654921 4680225800459 14040677401377 42122032204131