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103032111312 = 24321355038521
BaseRepresentation
bin101111111110100110…
…0010100000011010000
3100211221111002120000200
41133331030110003100
53142002210030222
6115155435415200
710305142332114
oct1377514240320
9324844076020
10103032111312
113a771a39219
1217b752b4500
13993ca57c50
144db5a25744
152a30522eac
hex17fd3140d0

103032111312 has 60 divisors (see below), whose sum is σ = 310527341124. Its totient is φ = 31702187520.

The previous prime is 103032111311. The next prime is 103032111341. The reversal of 103032111312 is 213111230301.

103032111312 is a `hidden beast` number, since 1 + 0 + 30 + 321 + 1 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66892580496 + 36139530816 = 258636^2 + 190104^2 .

It is a super-2 number, since 2×1030321113122 (a number of 23 digits) contains 22 as substring.

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 (103032111311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27517389 + ... + 27521132.

Almost surely, 2103032111312 is an apocalyptic number.

103032111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103032111312 is an abundant number, since it is smaller than the sum of its proper divisors (207495229812).

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

103032111312 is a wasteful number, since it uses less digits than its factorization.

103032111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55038548 (or 55038539 counting only the distinct ones).

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

Adding to 103032111312 its reverse (213111230301), we get a palindrome (316143341613).

The spelling of 103032111312 in words is "one hundred three billion, thirty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 55038521 110077042 165115563 220154084 330231126 440308168 495346689 660462252 715500773 880616336 990693378 1320924504 1431001546 1981386756 2146502319 2641849008 2862003092 3962773512 4293004638 5724006184 6439506957 7925547024 8586009276 11448012368 12879013914 17172018552 25758027828 34344037104 51516055656 103032111312