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13021000032 = 253135635417
BaseRepresentation
bin11000010000001110…
…01011000101100000
31020121110022100002110
430020013023011200
5203131334000112
65552021115320
7640446450135
oct141007130540
936543270073
1013021000032
115582019057
122634858b40
1312c6845361
148b747458c
155131ee13c
hex3081cb160

13021000032 has 24 divisors (see below), whose sum is σ = 34180125336. Its totient is φ = 4340333312.

The previous prime is 13021000021. The next prime is 13021000049. The reversal of 13021000032 is 23000012031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13020999981 and 13021000017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67817613 + ... + 67817804.

It is an arithmetic number, because the mean of its divisors is an integer number (1424171889).

Almost surely, 213021000032 is an apocalyptic number.

13021000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13021000032 is an abundant number, since it is smaller than the sum of its proper divisors (21159125304).

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

13021000032 is a wasteful number, since it uses less digits than its factorization.

13021000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135635430 (or 135635422 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13021000032 its reverse (23000012031), we get a palindrome (36021012063).

The spelling of 13021000032 in words is "thirteen billion, twenty-one million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 135635417 271270834 406906251 542541668 813812502 1085083336 1627625004 2170166672 3255250008 4340333344 6510500016 13021000032