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102132412034103 = 331132841984919
BaseRepresentation
bin10111001110001110001110…
…001000111010110000110111
3111101121202121101202122122000
4113032032032020322300313
5101341314134440042403
61001114552105110343
730340552244312133
oct2716161610726067
9441552541678560
10102132412034103
112a5a7127009000
12b555b421883b3
1344cb0781c2149
141b313412403c3
15bc1a722627a3
hex5ce38e23ac37

102132412034103 has 32 divisors (see below), whose sum is σ = 166426636915200. Its totient is φ = 61898431514040.

The previous prime is 102132412034089. The next prime is 102132412034117. The reversal of 102132412034103 is 301430214231201.

102132412034103 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 41 + 203 + 410 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102132412034089) and next prime (102132412034117).

It is not a de Polignac number, because 102132412034103 - 214 = 102132412017719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132412034123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420956523 + ... + 1421028396.

It is an arithmetic number, because the mean of its divisors is an integer number (5200832403600).

Almost surely, 2102132412034103 is an apocalyptic number.

102132412034103 is a deficient number, since it is larger than the sum of its proper divisors (64294224881097).

102132412034103 is an equidigital number, since it uses as much as digits as its factorization.

102132412034103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841984961 (or 2841984933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102132412034103 its reverse (301430214231201), we get a palindrome (403562626265304).

The spelling of 102132412034103 in words is "one hundred two trillion, one hundred thirty-two billion, four hundred twelve million, thirty-four thousand, one hundred three".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1331 3267 3993 11979 35937 2841984919 8525954757 25577864271 31261834109 76733592813 93785502327 281356506981 343880175199 844069520943 1031640525597 3094921576791 3782681927189 9284764730373 11348045781567 34044137344701 102132412034103