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10319142912 = 21331332299
BaseRepresentation
bin10011001110001000…
…11010000000000000
3222122011021202220020
421213010122000000
5132113200033122
64423543013440
7513501160521
oct114704320000
928564252806
1010319142912
114415983891
121bbba3a280
13c85b5b530
146dc6ba848
15405dedc5c
hex26711a000

10319142912 has 112 divisors (see below), whose sum is σ = 29633570400. Its totient is φ = 3175022592.

The previous prime is 10319142871. The next prime is 10319142917. The reversal of 10319142912 is 21924191301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319142917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303339 + ... + 335637.

It is an arithmetic number, because the mean of its divisors is an integer number (264585450).

Almost surely, 210319142912 is an apocalyptic number.

10319142912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10319142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816785200).

10319142912 is an abundant number, since it is smaller than the sum of its proper divisors (19314427488).

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

10319142912 is an equidigital number, since it uses as much as digits as its factorization.

10319142912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32341 (or 32317 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 10319142912 in words is "ten billion, three hundred nineteen million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 19968 24576 26624 32299 39936 53248 64598 79872 96897 106496 129196 159744 193794 258392 319488 387588 419887 516784 775176 839774 1033568 1259661 1550352 1679548 2067136 2519322 3100704 3359096 4134272 5038644 6201408 6718192 8268544 10077288 12402816 13436384 16537088 20154576 24805632 26872768 33074176 40309152 49611264 53745536 66148352 80618304 99222528 107491072 132296704 161236608 198445056 214982144 264593408 322473216 396890112 429964288 644946432 793780224 859928576 1289892864 1719857152 2579785728 3439714304 5159571456 10319142912