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10224123320 = 235829308327
BaseRepresentation
bin10011000010110011…
…11011110110111000
3222101112111021112002
421201121323312320
5131414333421240
64410310240132
7511235420465
oct114131736670
928345437462
1010224123320
1143772841a4
121b94056048
13c6c26c918
146cdc2466c
153ec8ced15
hex26167bdb8

10224123320 has 32 divisors (see below), whose sum is σ = 23032101600. Its totient is φ = 4084702848.

The previous prime is 10224123313. The next prime is 10224123341. The reversal of 10224123320 is 2332142201.

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 = 10224123292 and 10224123301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 121004 + ... + 187323.

It is an arithmetic number, because the mean of its divisors is an integer number (719753175).

Almost surely, 210224123320 is an apocalyptic number.

10224123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224123320 is an abundant number, since it is smaller than the sum of its proper divisors (12807978280).

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

10224123320 is a wasteful number, since it uses less digits than its factorization.

10224123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309167 (or 309163 counting only the distinct ones).

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

Adding to 10224123320 its reverse (2332142201), we get a palindrome (12556265521).

The spelling of 10224123320 in words is "ten billion, two hundred twenty-four million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 829 1658 3316 4145 6632 8290 16580 33160 308327 616654 1233308 1541635 2466616 3083270 6166540 12333080 255603083 511206166 1022412332 1278015415 2044824664 2556030830 5112061660 10224123320