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10112132112 = 243928122699
BaseRepresentation
bin10010110101011101…
…01110010000010000
3222002201202112110120
421122232232100100
5131202201211422
64351230030240
7505405463505
oct113256562020
928081675416
1010112132112
11431a042585
121b62648380
13c51cbb134
146bcdd14ac
153e2b5c45c
hex25abae410

10112132112 has 40 divisors (see below), whose sum is σ = 26126973600. Its totient is φ = 3370199040.

The previous prime is 10112132099. The next prime is 10112132113. The reversal of 10112132112 is 21123121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112132091 and 10112132100.

It is not an unprimeable number, because it can be changed into a prime (10112132113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434139 + ... + 456837.

It is an arithmetic number, because the mean of its divisors is an integer number (653174340).

Almost surely, 210112132112 is an apocalyptic number.

10112132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112132112 is an abundant number, since it is smaller than the sum of its proper divisors (16014841488).

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

10112132112 is a wasteful number, since it uses less digits than its factorization.

10112132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31991 (or 31985 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112132112 its reverse (21123121101), we get a palindrome (31235253213).

The spelling of 10112132112 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 9281 18562 22699 27843 37124 45398 55686 68097 74248 90796 111372 136194 148496 181592 222744 272388 363184 445488 544776 1089552 210669419 421338838 632008257 842677676 1264016514 1685355352 2528033028 3370710704 5056066056 10112132112