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103130264471544 = 23344161495112853
BaseRepresentation
bin10111011100101111100010…
…110001111000011111111000
3111112011011020110011121010000
4113130233202301320133320
5102004141240201042134
61003201220041553000
730502626044140632
oct2734574261703770
9445134213147100
10103130264471544
112a95133276a402
12b697404aa5760
1345711b0588cbb
141b67762379a52
15bdc9c51b8e99
hex5dcbe2c787f8

103130264471544 has 320 divisors, whose sum is σ = 300840665590080. Its totient is φ = 32979260160000.

The previous prime is 103130264471539. The next prime is 103130264471573. The reversal of 103130264471544 is 445174462031301.

103130264471544 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 0 + 2 + 64 + 47 + 1 + 544 = 666.

It is a super-2 number, since 2×1031302644715442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103130264471544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8023821822 + ... + 8023834674.

It is an arithmetic number, because the mean of its divisors is an integer number (940127079969).

Almost surely, 2103130264471544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103130264471544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150420332795040).

103130264471544 is an abundant number, since it is smaller than the sum of its proper divisors (197710401118536).

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

103130264471544 is a wasteful number, since it uses less digits than its factorization.

103130264471544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17924 (or 17911 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 103130264471544 in words is "one hundred three trillion, one hundred thirty billion, two hundred sixty-four million, four hundred seventy-one thousand, five hundred forty-four".