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103027594912 = 2511419733953
BaseRepresentation
bin101111111110011101…
…1000101011010100000
3100211221011121002200121
41133330323011122200
53142000031014122
6115155154530024
710305056051554
oct1377473053240
9324834532617
10103027594912
113a76a433a60
1217b73896914
13993bb36318
144db51ab864
152a2ee2ebc7
hex17fcec56a0

103027594912 has 96 divisors (see below), whose sum is σ = 222338934720. Its totient is φ = 46606264320.

The previous prime is 103027594907. The next prime is 103027594919. The reversal of 103027594912 is 219495720301.

It is a super-2 number, since 2×1030275949122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103027594919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108108228 + ... + 108109180.

It is an arithmetic number, because the mean of its divisors is an integer number (2316030570).

Almost surely, 2103027594912 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 103027594912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111169467360).

103027594912 is an abundant number, since it is smaller than the sum of its proper divisors (119311339808).

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

103027594912 is a wasteful number, since it uses less digits than its factorization.

103027594912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 103027594912 in words is "one hundred three billion, twenty-seven million, five hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 419 733 838 953 1466 1676 1906 2932 3352 3812 4609 5864 6704 7624 8063 9218 10483 11728 13408 15248 16126 18436 20966 23456 30496 32252 36872 41932 64504 73744 83864 129008 147488 167728 258016 307127 335456 399307 614254 698549 798614 1228508 1397098 1597228 2457016 2794196 3194456 3378397 4392377 4914032 5588392 6388912 6756794 7684039 8784754 9828064 11176784 12777824 13513588 15368078 17569508 22353568 27027176 30736156 35139016 54054352 61472312 70278032 108108704 122944624 140556064 245889248 292692031 585384062 1170768124 2341536248 3219612341 4683072496 6439224682 9366144992 12878449364 25756898728 51513797456 103027594912