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10132112322 = 2326110338933
BaseRepresentation
bin10010110111110101…
…11100001111000010
3222011010100122011100
421123322330033002
5131222310043242
64353222155230
7506040351033
oct113372741702
928133318140
1010132112322
11432a349a52
121b69282b16
13c56195547
146c1912a8a
153e47a754c
hex25bebc3c2

10132112322 has 48 divisors (see below), whose sum is σ = 22336894008. Its totient is φ = 3318416640.

The previous prime is 10132112321. The next prime is 10132112327. The reversal of 10132112322 is 22321123101.

10132112322 is a `hidden beast` number, since 10 + 1 + 321 + 12 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7601921721 + 2530190601 = 87189^2 + 50301^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10132112295 and 10132112304.

It is not an unprimeable number, because it can be changed into a prime (10132112321) 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 23 ways as a sum of consecutive naturals, for example, 1129768 + ... + 1138700.

Almost surely, 210132112322 is an apocalyptic number.

10132112322 is an abundant number, since it is smaller than the sum of its proper divisors (12204781686).

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

10132112322 is a wasteful number, since it uses less digits than its factorization.

10132112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132112322 its reverse (22321123101), we get a palindrome (32453235423).

The spelling of 10132112322 in words is "ten billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1033 1098 2066 3099 6198 8933 9297 17866 18594 26799 53598 63013 80397 126026 160794 189039 378078 544913 567117 1089826 1134234 1634739 3269478 4904217 9227789 9808434 18455578 27683367 55366734 83050101 166100202 562895129 1125790258 1688685387 3377370774 5066056161 10132112322