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115131183228 = 223253389155119
BaseRepresentation
bin110101100111001011…
…0100111000001111100
3102000011200122002111100
41223032112213001330
53341242040330403
6124520204453100
711214025624215
oct1531626470174
9360150562440
10115131183228
1144910608006
121a39124a190
13ab1a5999b9
14580287240c
152edc8132a3
hex1ace5a707c

115131183228 has 72 divisors (see below), whose sum is σ = 297281275200. Its totient is φ = 37555929216.

The previous prime is 115131183149. The next prime is 115131183301. The reversal of 115131183228 is 822381131511.

115131183228 is a `hidden beast` number, since 1 + 1 + 513 + 118 + 3 + 2 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115131183192 and 115131183201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664653 + ... + 819771.

It is an arithmetic number, because the mean of its divisors is an integer number (4128906600).

Almost surely, 2115131183228 is an apocalyptic number.

115131183228 is a gapful number since it is divisible by the number (18) 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 115131183228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148640637600).

115131183228 is an abundant number, since it is smaller than the sum of its proper divisors (182150091972).

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

115131183228 is a wasteful number, since it uses less digits than its factorization.

115131183228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155571 (or 155566 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 115131183228 in words is "one hundred fifteen billion, one hundred thirty-one million, one hundred eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 389 477 636 778 954 1167 1556 1908 2334 3501 4668 7002 14004 20617 41234 61851 82468 123702 155119 185553 247404 310238 371106 465357 620476 742212 930714 1396071 1861428 2792142 5584284 8221307 16442614 24663921 32885228 49327842 60341291 73991763 98655684 120682582 147983526 181023873 241365164 295967052 362047746 543071619 724095492 1086143238 2172286476 3198088423 6396176846 9594265269 12792353692 19188530538 28782795807 38377061076 57565591614 115131183228