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13112114232 = 2337211149757
BaseRepresentation
bin11000011011000101…
…01111110000111000
31020211210202102021110
430031202233300320
5203323200123412
610005034040320
7642634063200
oct141542576070
936753672243
1013112114232
1156194a0548
12265b2790a0
13130c697499
148c55d1400
1551b1ead3c
hex30d8afc38

13112114232 has 48 divisors (see below), whose sum is σ = 38132172360. Its totient is φ = 3746318016.

The previous prime is 13112114209. The next prime is 13112114251. The reversal of 13112114232 is 23241121131.

13112114232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13112114199 and 13112114208.

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, 5573703 + ... + 5576054.

Almost surely, 213112114232 is an apocalyptic number.

13112114232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112114232 is an abundant number, since it is smaller than the sum of its proper divisors (25020058128).

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

13112114232 is a wasteful number, since it uses less digits than its factorization.

13112114232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149780 (or 11149769 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 13112114232 its reverse (23241121131), we get a palindrome (36353235363).

The spelling of 13112114232 in words is "thirteen billion, one hundred twelve million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 11149757 22299514 33449271 44599028 66898542 78048299 89198056 133797084 156096598 234144897 267594168 312193196 468289794 546338093 624386392 936579588 1092676186 1639014279 1873159176 2185352372 3278028558 4370704744 6556057116 13112114232