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13010332032 = 273236730773
BaseRepresentation
bin11000001110111100…
…11110100110000000
31020120201020100100100
430013132132212000
5203121121111112
65551000322400
7640256666115
oct140736364600
936521210310
1013010332032
115576aa2025
122631173400
1312c457b729
148b5c9890c
155122e32dc
hex30779e980

13010332032 has 96 divisors (see below), whose sum is σ = 37541818080. Its totient is φ = 4324819968.

The previous prime is 13010332021. The next prime is 13010332043. The reversal of 13010332032 is 23023301031.

13010332032 is a `hidden beast` number, since 1 + 301 + 0 + 332 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13010332021) and next prime (13010332043).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13010331996 and 13010332014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407398 + ... + 438170.

It is an arithmetic number, because the mean of its divisors is an integer number (391060605).

Almost surely, 213010332032 is an apocalyptic number.

13010332032 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 13010332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770909040).

13010332032 is an abundant number, since it is smaller than the sum of its proper divisors (24531486048).

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

13010332032 is a wasteful number, since it uses less digits than its factorization.

13010332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31160 (or 31145 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13010332032 its reverse (23023301031), we get a palindrome (36033633063).

The spelling of 13010332032 in words is "thirteen billion, ten million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 367 384 576 734 1101 1152 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 23488 26424 30773 35232 46976 52848 61546 70464 92319 105696 123092 140928 184638 211392 246184 276957 369276 422784 492368 553914 738552 984736 1107828 1477104 1969472 2215656 2954208 3938944 4431312 5908416 8862624 11293691 11816832 17725248 22587382 33881073 35450496 45174764 67762146 90349528 101643219 135524292 180699056 203286438 271048584 361398112 406572876 542097168 722796224 813145752 1084194336 1445592448 1626291504 2168388672 3252583008 4336777344 6505166016 13010332032