Search a number
-
+
13021320120 = 2335401270601
BaseRepresentation
bin11000010000010000…
…11001001110111000
31020121110220121011120
430020020121032320
5203131424220440
65552032025240
7640452252264
oct141010311670
936543817146
1013021320120
115582217596
122634992220
1312c6927c63
148b75190a4
15513263dd0
hex3082193b8

13021320120 has 64 divisors (see below), whose sum is σ = 39161521440. Its totient is φ = 3463680000.

The previous prime is 13021320113. The next prime is 13021320121. The reversal of 13021320120 is 2102312031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13021320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87181 + ... + 183420.

Almost surely, 213021320120 is an apocalyptic number.

13021320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021320120 is an abundant number, since it is smaller than the sum of its proper divisors (26140201320).

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

13021320120 is a wasteful number, since it uses less digits than its factorization.

13021320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271016 (or 271012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13021320120 its reverse (2102312031), we get a palindrome (15123632151).

The spelling of 13021320120 in words is "thirteen billion, twenty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2406 3208 4010 4812 6015 8020 9624 12030 16040 24060 48120 270601 541202 811803 1082404 1353005 1623606 2164808 2706010 3247212 4059015 5412020 6494424 8118030 10824040 16236060 32472120 108511001 217022002 325533003 434044004 542555005 651066006 868088008 1085110010 1302132012 1627665015 2170220020 2604264024 3255330030 4340440040 6510660060 13021320120