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13311132032 = 271117535393
BaseRepresentation
bin11000110010110011…
…11100000110000000
31021100200020120101002
430121121330012000
5204230122211112
610040503431132
7650601520052
oct143131740600
937320216332
1013311132032
115710872570
1226b5a554a8
1313419996b3
14903bd98d2
1552d90e1c2
hex31967c180

13311132032 has 64 divisors (see below), whose sum is σ = 28950892560. Its totient is φ = 6045941760.

The previous prime is 13311132011. The next prime is 13311132049. The reversal of 13311132032 is 23023111331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13311131995 and 13311132013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2465528 + ... + 2470920.

Almost surely, 213311132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475446280).

13311132032 is an abundant number, since it is smaller than the sum of its proper divisors (15639760528).

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

13311132032 is a wasteful number, since it uses less digits than its factorization.

13311132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311132032 its reverse (23023111331), we get a palindrome (36334243363).

The spelling of 13311132032 in words is "thirteen billion, three hundred eleven million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1753 3506 5393 7012 10786 14024 19283 21572 28048 38566 43144 56096 59323 77132 86288 112192 118646 154264 172576 224384 237292 308528 345152 474584 617056 690304 949168 1234112 1898336 2468224 3796672 7593344 9453929 18907858 37815716 75631432 103993219 151262864 207986438 302525728 415972876 605051456 831945752 1210102912 1663891504 3327783008 6655566016 13311132032