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102210112122 = 2383919223331
BaseRepresentation
bin101111100110000110…
…0101000101001111010
3100202211012100200010020
41133030030220221322
53133311242041442
6114542113231310
710245601422036
oct1371414505172
9322735320106
10102210112122
113a38aa42048
1217985b62536
13983b6719b1
144d387b11c6
1529d32a29ec
hex17cc328a7a

102210112122 has 32 divisors (see below), whose sum is σ = 207109163520. Its totient is φ = 33622778160.

The previous prime is 102210112051. The next prime is 102210112133. The reversal of 102210112122 is 221211012201.

It is a super-3 number, since 3×1022101121223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 345997 + ... + 569327.

It is an arithmetic number, because the mean of its divisors is an integer number (6472161360).

Almost surely, 2102210112122 is an apocalyptic number.

102210112122 is an abundant number, since it is smaller than the sum of its proper divisors (104899051398).

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

102210112122 is a wasteful number, since it uses less digits than its factorization.

102210112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224338.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210112122 its reverse (221211012201), we get a palindrome (323421124323).

The spelling of 102210112122 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 83 166 249 498 919 1838 2757 5514 76277 152554 223331 228831 446662 457662 669993 1339986 18536473 37072946 55609419 111218838 205241189 410482378 615723567 1231447134 17035018687 34070037374 51105056061 102210112122