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10023322032 = 243269606403
BaseRepresentation
bin10010101010110111…
…11100000110110000
3221212112122111221100
421111123330012300
5131011432301112
64334334324400
7503246555133
oct112533740660
927775574840
1010023322032
1142839a4219
121b38959700
13c397949a9
146b12b421a
153d9e682dc
hex2556fc1b0

10023322032 has 30 divisors (see below), whose sum is σ = 28051380812. Its totient is φ = 3341107296.

The previous prime is 10023322031. The next prime is 10023322033. The reversal of 10023322032 is 23022332001.

It is a happy number.

10023322032 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 (10023322031) and next prime (10023322033).

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 = 10023321996 and 10023322014.

It is not an unprimeable number, because it can be changed into a prime (10023322031) 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, 34803058 + ... + 34803345.

Almost surely, 210023322032 is an apocalyptic number.

10023322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023322032 is an abundant number, since it is smaller than the sum of its proper divisors (18028058780).

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

10023322032 is a wasteful number, since it uses less digits than its factorization.

10023322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69606417 (or 69606408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10023322032 its reverse (23022332001), we get a palindrome (33045654033).

It can be divided in two parts, 100233 and 22032, that added together give a triangular number (122265 = T494).

The spelling of 10023322032 in words is "ten billion, twenty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 69606403 139212806 208819209 278425612 417638418 556851224 626457627 835276836 1113702448 1252915254 1670553672 2505830508 3341107344 5011661016 10023322032