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102342100122 = 232372814671171
BaseRepresentation
bin101111101010000010…
…0001000010010011010
3100210011101201100121200
41133110010020102122
53134044034200442
6115003150215030
710252063332513
oct1372404102232
9323141640550
10102342100122
113a4484a1639
1217a021b4476
13985cb052c2
144d4c12ba0a
1529deb7534c
hex17d410849a

102342100122 has 96 divisors (see below), whose sum is σ = 229229642304. Its totient is φ = 32974905600.

The previous prime is 102342100087. The next prime is 102342100177. The reversal of 102342100122 is 221001243201.

It is a happy number.

102342100122 is a `hidden beast` number, since 102 + 342 + 100 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102342100095 and 102342100104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87396597 + ... + 87397767.

It is an arithmetic number, because the mean of its divisors is an integer number (2387808774).

Almost surely, 2102342100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114614821152).

102342100122 is an abundant number, since it is smaller than the sum of its proper divisors (126887542182).

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

102342100122 is a wasteful number, since it uses less digits than its factorization.

102342100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102342100122 its reverse (221001243201), we get a palindrome (323343343323).

The spelling of 102342100122 in words is "one hundred two billion, three hundred forty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 467 562 666 843 934 1171 1401 1686 2342 2529 2802 3513 4203 5058 7026 8406 10397 10539 17279 20794 21078 31191 34558 43327 51837 62382 86654 93573 103674 129981 131227 155511 187146 259962 262454 311022 329051 389943 393681 546857 658102 779886 787362 987153 1093714 1181043 1640571 1974306 2362086 2961459 3281142 4855399 4921713 5922918 9710798 9843426 12174887 14566197 20233709 24349774 29132394 36524661 40467418 43698591 60701127 73049322 87397182 109573983 121402254 153666817 182103381 219147966 307333634 364206762 461000451 922000902 1383001353 2766002706 5685672229 11371344458 17057016687 34114033374 51171050061 102342100122