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10123422320 = 2451111503889
BaseRepresentation
bin10010110110110011…
…10010101001110000
3222010112000010201102
421123121302221300
5131213044003240
64352312023532
7505603445534
oct113331625160
928115003642
1010123422320
114325454030
121b66391ba8
13c5444202b
146c06cdbc4
153e3b3c815
hex25b672a70

10123422320 has 40 divisors (see below), whose sum is σ = 25676682480. Its totient is φ = 3681244160.

The previous prime is 10123422277. The next prime is 10123422347. The reversal of 10123422320 is 2322432101.

10123422320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10123422292 and 10123422301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5751065 + ... + 5752824.

It is an arithmetic number, because the mean of its divisors is an integer number (641917062).

Almost surely, 210123422320 is an apocalyptic number.

10123422320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123422320 is an abundant number, since it is smaller than the sum of its proper divisors (15553260160).

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

10123422320 is a wasteful number, since it uses less digits than its factorization.

10123422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503913 (or 11503907 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10123422320 its reverse (2322432101), we get a palindrome (12445854421).

The spelling of 10123422320 in words is "ten billion, one hundred twenty-three million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11503889 23007778 46015556 57519445 92031112 115038890 126542779 184062224 230077780 253085558 460155560 506171116 632713895 920311120 1012342232 1265427790 2024684464 2530855580 5061711160 10123422320