Search a number
-
+
13032000120319 = 531312351798383
BaseRepresentation
bin1011110110100011111110…
…1111001110010111111111
31201010211212111101001220221
42331220333233032113333
53202004014012322234
643414452422122211
72513350053212665
oct275507757162777
951124774331827
1013032000120319
114174927362824
121565832580367
13736bb253a55b
14330a75d5ac35
15178ed3b98eb4
hexbda3fbce5ff

13032000120319 has 16 divisors (see below), whose sum is σ = 13384952469504. Its totient is φ = 12683096452000.

The previous prime is 13032000120317. The next prime is 13032000120323. The reversal of 13032000120319 is 91302100023031.

It is a cyclic number.

It is not a de Polignac number, because 13032000120319 - 21 = 13032000120317 is a prime.

It is a super-2 number, since 2×130320001203192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13032000120293 and 13032000120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032000120313) 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, 15923802 + ... + 16722184.

It is an arithmetic number, because the mean of its divisors is an integer number (836559529344).

Almost surely, 213032000120319 is an apocalyptic number.

13032000120319 is a deficient number, since it is larger than the sum of its proper divisors (352952349185).

13032000120319 is a wasteful number, since it uses less digits than its factorization.

13032000120319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800918.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13032000120319 in words is "thirteen trillion, thirty-two billion, one hundred twenty thousand, three hundred nineteen".

Divisors: 1 53 131 2351 6943 124603 307981 798383 16322993 42314299 104588173 1876998433 5543173169 99480916949 245886794723 13032000120319