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10001311322032 = 2429316111398493
BaseRepresentation
bin1001000110001001110010…
…0110111100111110110000
31022102010010120201022111001
42101202130212330332300
52302330141144301112
633134312231131344
72051366550401512
oct221423446747660
938363116638431
1010001311322032
113206594564738
1211563a2b13b54
13577172a28a14
142680cd359bb2
1512525511cc57
hex9189c9bcfb0

10001311322032 has 80 divisors (see below), whose sum is σ = 21031589249280. Its totient is φ = 4595871974400.

The previous prime is 10001311322027. The next prime is 10001311322047. The reversal of 10001311322032 is 23022311310001.

10001311322032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4821823 + ... + 6576670.

It is an arithmetic number, because the mean of its divisors is an integer number (262894865616).

Almost surely, 210001311322032 is an apocalyptic number.

It is an amenable number.

10001311322032 is an abundant number, since it is smaller than the sum of its proper divisors (11030277927248).

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

10001311322032 is a wasteful number, since it uses less digits than its factorization.

10001311322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398622 (or 11398616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10001311322032 its reverse (23022311310001), we get a palindrome (33023622632033).

The spelling of 10001311322032 in words is "ten trillion, one billion, three hundred eleven million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 58 61 62 116 122 124 232 244 248 464 488 496 899 976 1769 1798 1891 3538 3596 3782 7076 7192 7564 14152 14384 15128 28304 30256 54839 109678 219356 438712 877424 11398493 22796986 45593972 91187944 182375888 330556297 353353283 661112594 695308073 706706566 1322225188 1390616146 1413413132 2644450376 2781232292 2826826264 5288900752 5562464584 5653652528 10247245207 11124929168 20163934117 20494490414 21554550263 40327868234 40988980828 43109100526 80655736468 81977961656 86218201052 161311472936 163955923312 172436402104 322622945872 344872804208 625081957627 1250163915254 2500327830508 5000655661016 10001311322032