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10319123424 = 253493121799
BaseRepresentation
bin10011001110001000…
…10101001111100000
3222122011020210011110
421213010111033200
5132113143422144
64423542343320
7513501046641
oct114704251740
928564223143
1010319123424
114415970185
121bbba2ab40
13c85b526bc
146dc6b36c8
15405de80b9
hex2671153e0

10319123424 has 48 divisors (see below), whose sum is σ = 27094435200. Its totient is φ = 3438852480.

The previous prime is 10319123411. The next prime is 10319123431. The reversal of 10319123424 is 42432191301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10319123391 and 10319123400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462477 + ... + 484275.

It is an arithmetic number, because the mean of its divisors is an integer number (564467400).

Almost surely, 210319123424 is an apocalyptic number.

It is an amenable number.

10319123424 is an abundant number, since it is smaller than the sum of its proper divisors (16775311776).

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

10319123424 is a wasteful number, since it uses less digits than its factorization.

10319123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10319123424 in words is "ten billion, three hundred nineteen million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4931 9862 14793 19724 21799 29586 39448 43598 59172 65397 78896 87196 118344 130794 157792 174392 236688 261588 348784 473376 523176 697568 1046352 2092704 107490869 214981738 322472607 429963476 644945214 859926952 1289890428 1719853904 2579780856 3439707808 5159561712 10319123424