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13013332032 = 263612394649
BaseRepresentation
bin11000001111010011…
…11011000001000000
31020120220212202120110
430013221323001000
5203122403111112
65551144511320
7640324332351
oct140751730100
936526782513
1013013332032
115578760a68
12263217b540
1312c508c08c
148b6439d28
155126d713c
hex307a7b040

13013332032 has 112 divisors (see below), whose sum is σ = 35149536000. Its totient is φ = 4247900160.

The previous prime is 13013332019. The next prime is 13013332037. The reversal of 13013332032 is 23023331031.

It is not an unprimeable number, because it can be changed into a prime (13013332037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2796844 + ... + 2801492.

Almost surely, 213013332032 is an apocalyptic number.

13013332032 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 13013332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574768000).

13013332032 is an abundant number, since it is smaller than the sum of its proper divisors (22136203968).

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

13013332032 is a wasteful number, since it uses less digits than its factorization.

13013332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13013332032 its reverse (23023331031), we get a palindrome (36036663063).

It can be divided in two parts, 130133 and 32032, that added together give a triangular number (162165 = T569).

The spelling of 13013332032 in words is "thirteen billion, thirteen million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 239 244 366 478 488 717 732 956 976 1434 1464 1912 1952 2868 2928 3824 3904 4649 5736 5856 7648 9298 11472 11712 13947 14579 15296 18596 22944 27894 29158 37192 43737 45888 55788 58316 74384 87474 111576 116632 148768 174948 223152 233264 283589 297536 349896 446304 466528 567178 699792 850767 892608 933056 1111111 1134356 1399584 1701534 2222222 2268712 2799168 3333333 3403068 4444444 4537424 6666666 6806136 8888888 9074848 13333332 13612272 17777776 18149696 26666664 27224544 35555552 53333328 54449088 67777771 71111104 106666656 135555542 203333313 213333312 271111084 406666626 542222168 813333252 1084444336 1626666504 2168888672 3253333008 4337777344 6506666016 13013332032