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10303322952 = 23313210512417
BaseRepresentation
bin10011001100010000…
…00011101101001000
3222121001112000222210
421212020003231020
5132100122313302
64422215545120
7513216541266
oct114610035510
928531460883
1010303322952
114407a5903a
121bb668b1a0
13c827ac900
146da55d436
1540482666c
hex266203b48

10303322952 has 96 divisors (see below), whose sum is σ = 27930221280. Its totient is φ = 3165926400.

The previous prime is 10303322951. The next prime is 10303322963. The reversal of 10303322952 is 25922330301.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10303322951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4261648 + ... + 4264064.

It is an arithmetic number, because the mean of its divisors is an integer number (290939805).

Almost surely, 210303322952 is an apocalyptic number.

10303322952 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 10303322952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965110640).

10303322952 is an abundant number, since it is smaller than the sum of its proper divisors (17626898328).

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

10303322952 is a wasteful number, since it uses less digits than its factorization.

10303322952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 10303322952 in words is "ten billion, three hundred three million, three hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1051 1352 2028 2102 2417 3153 4056 4204 4834 6306 7251 8408 9668 12612 13663 14502 19336 25224 27326 29004 31421 40989 54652 58008 62842 81978 94263 109304 125684 163956 177619 188526 251368 327912 355238 377052 408473 532857 710476 754104 816946 1065714 1225419 1420952 1633892 2131428 2450838 2540267 3267784 4262856 4901676 5080534 7620801 9803352 10161068 15241602 20322136 30483204 33023471 60966408 66046942 99070413 132093884 198140826 264187768 396281652 429305123 792563304 858610246 1287915369 1717220492 2575830738 3434440984 5151661476 10303322952