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102212132103 = 32176179138629
BaseRepresentation
bin101111100110001010…
…0010101110100000111
3100202211100011022000100
41133030110111310013
53133312301211403
6114542224415143
710245624534144
oct1371424256407
9322740138010
10102212132103
113a3910a1754
12179867774b3
13983bbcb253
144d38b793cb
1529d35512a3
hex17cc515d07

102212132103 has 48 divisors (see below), whose sum is σ = 160899523200. Its totient is φ = 62282787840.

The previous prime is 102212132051. The next prime is 102212132111. The reversal of 102212132103 is 301231212201.

It is not a de Polignac number, because 102212132103 - 224 = 102195354887 is a prime.

It is a super-2 number, since 2×1022121321032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212133103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 667993 + ... + 806621.

It is an arithmetic number, because the mean of its divisors is an integer number (3352073400).

Almost surely, 2102212132103 is an apocalyptic number.

102212132103 is a deficient number, since it is larger than the sum of its proper divisors (58687391097).

102212132103 is a wasteful number, since it uses less digits than its factorization.

102212132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138792 (or 138789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102212132103 its reverse (301231212201), we get a palindrome (403443344304).

The spelling of 102212132103 in words is "one hundred two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred three".

Divisors: 1 3 9 17 51 61 79 153 183 237 549 711 1037 1343 3111 4029 4819 9333 12087 14457 43371 81923 138629 245769 415887 737307 1247661 2356693 7070079 8456369 10951691 21210237 25369107 32855073 76107321 98565219 143758273 186178747 431274819 558536241 668053151 1293824457 1675608723 2004159453 6012478359 11356903567 34070710701 102212132103