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10012432332 = 2237293406811
BaseRepresentation
bin10010101001100100…
…11001011111001100
3221211210011021002010
421110302121133030
5131001140313312
64333305101220
7503055161550
oct112462313714
927753137063
1010012432332
114278836671
121b35187810
13c37451196
146ada7b860
153d901693c
hex254c997cc

10012432332 has 48 divisors (see below), whose sum is σ = 26791011072. Its totient is φ = 2850924480.

The previous prime is 10012432303. The next prime is 10012432361. The reversal of 10012432332 is 23323421001.

10012432332 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 (10012432303) and next prime (10012432361).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10012432299 and 10012432308.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 178794 + ... + 228017.

It is an arithmetic number, because the mean of its divisors is an integer number (558146064).

Almost surely, 210012432332 is an apocalyptic number.

10012432332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012432332 is an abundant number, since it is smaller than the sum of its proper divisors (16778578740).

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

10012432332 is a wasteful number, since it uses less digits than its factorization.

10012432332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407118 (or 407116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10012432332 its reverse (23323421001), we get a palindrome (33335853333).

The spelling of 10012432332 in words is "ten billion, twelve million, four hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 293 586 879 1172 1758 2051 3516 4102 6153 8204 12306 24612 406811 813622 1220433 1627244 2440866 2847677 4881732 5695354 8543031 11390708 17086062 34172124 119195623 238391246 357586869 476782492 715173738 834369361 1430347476 1668738722 2503108083 3337477444 5006216166 10012432332