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42211525122 = 23213234634007
BaseRepresentation
bin100111010100000000…
…001100001000000010
311000221210102122122100
4213110000030020002
51142422122300442
631220335251230
73023020020624
oct472400141002
9130853378570
1042211525122
11169a133a658
128220679b16
133c992baa00
1420861a8c14
151170c2d84c
hex9d400c202

42211525122 has 72 divisors (see below), whose sum is σ = 99088052544. Its totient is φ = 12981170592.

The previous prime is 42211525093. The next prime is 42211525127. The reversal of 42211525122 is 22152511224.

42211525122 is a `hidden beast` number, since 4 + 2 + 2 + 11 + 525 + 122 = 666.

It is a super-2 number, since 2×422115251222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42211525127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10532443 + ... + 10536449.

It is an arithmetic number, because the mean of its divisors is an integer number (1376222952).

Almost surely, 242211525122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211525122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49544026272).

42211525122 is an abundant number, since it is smaller than the sum of its proper divisors (56876527422).

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

42211525122 is a wasteful number, since it uses less digits than its factorization.

42211525122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7488 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The spelling of 42211525122 in words is "forty-two billion, two hundred eleven million, five hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 3463 4007 6926 8014 10389 12021 20778 24042 31167 36063 45019 52091 62334 72126 90038 104182 135057 156273 270114 312546 405171 468819 585247 677183 810342 937638 1170494 1354366 1755741 2031549 3511482 4063098 5267223 6094647 10534446 12189294 13876241 27752482 41628723 83257446 124886169 180391133 249772338 360782266 541173399 1082346798 1623520197 2345084729 3247040394 4690169458 7035254187 14070508374 21105762561 42211525122