Search a number
-
+
100320132133 = 13199238316273
BaseRepresentation
bin101110101101110001…
…0111011110000100101
3100120221111000201222101
41131123202323300211
53120423423212013
6114030400332101
710151012024224
oct1353342736045
9316844021871
10100320132133
1139600110111
1217539014031
1395c9c38b40
144bd9794cbb
1529223c38dd
hex175b8bbc25

100320132133 has 16 divisors (see below), whose sum is σ = 108632204800. Its totient is φ = 92093531904.

The previous prime is 100320132113. The next prime is 100320132163. The reversal of 100320132133 is 331231023001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100320132133 is a prime.

It is a super-2 number, since 2×1003201321332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100320132133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320132113) 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, 6156685 + ... + 6172957.

It is an arithmetic number, because the mean of its divisors is an integer number (6789512800).

Almost surely, 2100320132133 is an apocalyptic number.

100320132133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100320132133 is a deficient number, since it is larger than the sum of its proper divisors (8312072667).

100320132133 is a wasteful number, since it uses less digits than its factorization.

100320132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18868.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100320132133 its reverse (331231023001), we get a palindrome (431551155134).

The spelling of 100320132133 in words is "one hundred billion, three hundred twenty million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 199 2383 2587 16273 30979 211549 474217 3238327 6164821 38778559 42098251 504121267 7716933241 100320132133