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10122112332 = 2232281169787
BaseRepresentation
bin10010110110101001…
…10010110101001100
3222010102112120202100
421123110302311030
5131212230043312
64352223555100
7505556351403
oct113324626514
928112476670
1010122112332
1143247398a2
121b65a5ba90
13c540a39a7
146c046c63a
153e397e5dc
hex25b532d4c

10122112332 has 18 divisors (see below), whose sum is σ = 25586450708. Its totient is φ = 3374037432.

The previous prime is 10122112331. The next prime is 10122112333. The reversal of 10122112332 is 23321122101.

10122112332 is a `hidden beast` number, since 101 + 221 + 12 + 332 = 666.

10122112332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122112331) and next prime (10122112333).

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

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 (10122112331) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 140584858 + ... + 140584929.

Almost surely, 210122112332 is an apocalyptic number.

10122112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122112332 is an abundant number, since it is smaller than the sum of its proper divisors (15464338376).

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

10122112332 is a wasteful number, since it uses less digits than its factorization.

10122112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281169797 (or 281169792 counting only the distinct ones).

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

Adding to 10122112332 its reverse (23321122101), we get a palindrome (33443234433).

The spelling of 10122112332 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281169787 562339574 843509361 1124679148 1687018722 2530528083 3374037444 5061056166 10122112332