Search a number
-
+
102522055122 = 23219734798573
BaseRepresentation
bin101111101111011001…
…0100110100111010010
3100210121221100000110200
41133132302212213102
53134431121230442
6115033055240030
710256410042614
oct1373662464722
9323557300420
10102522055122
113a530033483
1217a52519016
13988b191856
144d67db2db4
152a0087034c
hex17deca69d2

102522055122 has 96 divisors (see below), whose sum is σ = 237547814400. Its totient is φ = 31861506816.

The previous prime is 102522055121. The next prime is 102522055127. The reversal of 102522055122 is 221550225201.

It is a happy number.

102522055122 is a `hidden beast` number, since 10 + 2 + 522 + 0 + 5 + 5 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (102522055121) 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, 11954428 + ... + 11963000.

It is an arithmetic number, because the mean of its divisors is an integer number (2474456400).

Almost surely, 2102522055122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102522055122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118773907200).

102522055122 is an abundant number, since it is smaller than the sum of its proper divisors (135025759278).

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

102522055122 is a wasteful number, since it uses less digits than its factorization.

102522055122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 102522055122 in words is "one hundred two billion, five hundred twenty-two million, fifty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 342 438 479 657 958 1314 1387 1437 2774 2874 4161 4311 8322 8573 8622 9101 12483 17146 18202 24966 25719 27303 34967 51438 54606 69934 77157 81909 104901 154314 162887 163818 209802 314703 325774 488661 625829 629406 664373 977322 1251658 1328746 1465983 1877487 1993119 2931966 3754974 3986238 4106467 5632461 5979357 8212934 11264922 11890751 11958714 12319401 23781502 24638802 35672253 36958203 71344506 73916406 78022873 107016759 156045746 214033518 234068619 299772091 468137238 599544182 702205857 899316273 1404411714 1798632546 2697948819 5395897638 5695669729 11391339458 17087009187 34174018374 51261027561 102522055122