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101114523432 = 233213108028337
BaseRepresentation
bin101111000101011100…
…1010010111100101000
3100122222211210222222100
41132022321102330220
53124040304222212
6114241255053400
710206466160646
oct1361271227450
9318884728870
10101114523432
113997857004a
121771b071260
1396c56a6b70
144c730a0196
15296beddbdc
hex178ae52f28

101114523432 has 48 divisors (see below), whose sum is σ = 294917362740. Its totient is φ = 31112160768.

The previous prime is 101114523403. The next prime is 101114523439. The reversal of 101114523432 is 234325411101.

101114523432 is a `hidden beast` number, since 101 + 1 + 1 + 4 + 523 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99713219076 + 1401304356 = 315774^2 + 37434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101114523396 and 101114523405.

It is not an unprimeable number, because it can be changed into a prime (101114523439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54013233 + ... + 54015104.

Almost surely, 2101114523432 is an apocalyptic number.

101114523432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101114523432 is an abundant number, since it is smaller than the sum of its proper divisors (193802839308).

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

101114523432 is a wasteful number, since it uses less digits than its factorization.

101114523432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108028362 (or 108028355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101114523432 its reverse (234325411101), we get a palindrome (335439934533).

The spelling of 101114523432 in words is "one hundred one billion, one hundred fourteen million, five hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 108028337 216056674 324085011 432113348 648170022 864226696 972255033 1296340044 1404368381 1944510066 2592680088 2808736762 3889020132 4213105143 5617473524 7778040264 8426210286 11234947048 12639315429 16852420572 25278630858 33704841144 50557261716 101114523432