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115017131232 = 2532773516643
BaseRepresentation
bin110101100011110001…
…1100010010011100000
3101222212202000122120100
41223013203202103200
53341023341144412
6124501012142400
711211142325133
oct1530743422340
9358782018510
10115017131232
1144862199063
121a35b007a00
13aacca76203
1457d166421a
152ed27d4edc
hex1ac78e24e0

115017131232 has 72 divisors (see below), whose sum is σ = 327503731464. Its totient is φ = 38289371904.

The previous prime is 115017131191. The next prime is 115017131291. The reversal of 115017131232 is 232131710511.

115017131232 is a `hidden beast` number, since 1 + 1 + 501 + 7 + 131 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 115017131196 and 115017131205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35698 + ... + 480945.

It is an arithmetic number, because the mean of its divisors is an integer number (4548662937).

Almost surely, 2115017131232 is an apocalyptic number.

115017131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115017131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163751865732).

115017131232 is an abundant number, since it is smaller than the sum of its proper divisors (212486600232).

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

115017131232 is a wasteful number, since it uses less digits than its factorization.

115017131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517432 (or 517421 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 115017131232 its reverse (232131710511), we get a palindrome (347148841743).

The spelling of 115017131232 in words is "one hundred fifteen billion, seventeen million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 773 1546 2319 3092 4638 6184 6957 9276 12368 13914 18552 24736 27828 37104 55656 74208 111312 222624 516643 1033286 1549929 2066572 3099858 4133144 4649787 6199716 8266288 9299574 12399432 16532576 18599148 24798864 37198296 49597728 74396592 148793184 399365039 798730078 1198095117 1597460156 2396190234 3194920312 3594285351 4792380468 6389840624 7188570702 9584760936 12779681248 14377141404 19169521872 28754282808 38339043744 57508565616 115017131232