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123011331000102 = 2338925595366417
BaseRepresentation
bin11011111110000011001110…
…101100000000011100100110
3121010112202202011022202102000
4123332003032230000130212
5112110404201214000402
61113342343023030130
734624163312306046
oct3376031654003446
9533482664282360
10123011331000102
11362168a34a5a86
1211968505a3b346
135383bc361725c
142253accb99726
15e34c18a1cc1c
hex6fe0ceb00726

123011331000102 has 32 divisors (see below), whose sum is σ = 276429957314400. Its totient is φ = 40543060402944.

The previous prime is 123011331000101. The next prime is 123011331000163. The reversal of 123011331000102 is 201000133110321.

123011331000102 is a `hidden beast` number, since 1 + 230 + 1 + 1 + 331 + 0 + 0 + 0 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011331000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12797678403 + ... + 12797688014.

It is an arithmetic number, because the mean of its divisors is an integer number (8638436166075).

Almost surely, 2123011331000102 is an apocalyptic number.

123011331000102 is an abundant number, since it is smaller than the sum of its proper divisors (153418626314298).

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

123011331000102 is a wasteful number, since it uses less digits than its factorization.

123011331000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25595366517 (or 25595366511 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123011331000102 its reverse (201000133110321), we get a palindrome (324011464110423).

The spelling of 123011331000102 in words is "one hundred twenty-three trillion, eleven billion, three hundred thirty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 25595366417 51190732834 76786099251 153572198502 230358297753 460716595506 691074893259 1382149786518 2277987611113 4555975222226 6833962833339 13667925666678 20501888500017 41003777000034 61505665500051 123011331000102