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10321011344 = 2474116313789
BaseRepresentation
bin10011001110010111…
…00010001010010000
3222122021210200220102
421213023202022100
5132114134330334
64424051031532
7513523102040
oct114713421220
928567720812
1010321011344
114416a3a646
12200059b5a8
13c86363b07
146dca45720
1540616c67e
hex2672e2290

10321011344 has 80 divisors (see below), whose sum is σ = 23556408960. Its totient is φ = 4288619520.

The previous prime is 10321011277. The next prime is 10321011353. The reversal of 10321011344 is 44311012301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741602 + ... + 755390.

It is an arithmetic number, because the mean of its divisors is an integer number (294455112).

Almost surely, 210321011344 is an apocalyptic number.

10321011344 is a gapful number since it is divisible by the number (14) 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 10321011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778204480).

10321011344 is an abundant number, since it is smaller than the sum of its proper divisors (13235397616).

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

10321011344 is a wasteful number, since it uses less digits than its factorization.

10321011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14008 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10321011344 its reverse (44311012301), we get a palindrome (54632023645).

The spelling of 10321011344 in words is "ten billion, three hundred twenty-one million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 163 164 287 326 328 574 652 656 1141 1148 1304 2282 2296 2608 4564 4592 6683 9128 13366 13789 18256 26732 27578 46781 53464 55156 93562 96523 106928 110312 187124 193046 220624 374248 386092 565349 748496 772184 1130698 1544368 2247607 2261396 3957443 4495214 4522792 7914886 8990428 9045584 15733249 15829772 17980856 31466498 31659544 35961712 62932996 63319088 92151887 125865992 184303774 251731984 368607548 645063209 737215096 1290126418 1474430192 2580252836 5160505672 10321011344