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10112311332 = 2232280897537
BaseRepresentation
bin10010110101011110…
…11010000000100100
3222002202002122022100
421122233122000210
5131202222430312
64351233532100
7505410141144
oct113257320044
928082078270
1010112311332
11431a1551a2
121b62714030
13c52051896
146bd03a924
153e2b955dc
hex25abda024

10112311332 has 18 divisors (see below), whose sum is σ = 25561675958. Its totient is φ = 3370770432.

The previous prime is 10112311327. The next prime is 10112311337. The reversal of 10112311332 is 23311321101.

10112311332 is a `hidden beast` number, since 10 + 1 + 12 + 311 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (10112311327) and next prime (10112311337).

It can be written as a sum of positive squares in only one way, i.e., 6281196516 + 3831114816 = 79254^2 + 61896^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×101123113322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10112311337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140448733 + ... + 140448804.

Almost surely, 210112311332 is an apocalyptic number.

10112311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112311332 is an abundant number, since it is smaller than the sum of its proper divisors (15449364626).

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

10112311332 is a wasteful number, since it uses less digits than its factorization.

10112311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280897547 (or 280897542 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112311332 its reverse (23311321101), we get a palindrome (33423632433).

The spelling of 10112311332 in words is "ten billion, one hundred twelve million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 280897537 561795074 842692611 1123590148 1685385222 2528077833 3370770444 5056155666 10112311332