Search a number
-
+
13023313230132 = 22321919039931623
BaseRepresentation
bin1011110110000011100111…
…1101010111100100110100
31201010000110002110022211100
42331200321331113210310
53201333221141331012
643410454424010100
72512621561652352
oct275407175274464
951100402408740
1013023313230132
11417117988a637
121564009300930
137361298c824a
1433049036c7d2
15178b7621a8dc
hexbd839f57934

13023313230132 has 36 divisors (see below), whose sum is σ = 34652675555680. Its totient is φ = 4112625230352.

The previous prime is 13023313230079. The next prime is 13023313230133. The reversal of 13023313230132 is 23103231332031.

13023313230132 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 331 + 323 + 0 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13023313230096 and 13023313230105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023313230133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9519965128 + ... + 9519966495.

Almost surely, 213023313230132 is an apocalyptic number.

13023313230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13023313230132 is an abundant number, since it is smaller than the sum of its proper divisors (21629362325548).

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

13023313230132 is a wasteful number, since it uses less digits than its factorization.

13023313230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19039931652 (or 19039931647 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13023313230132 its reverse (23103231332031), we get a palindrome (36126544562163).

The spelling of 13023313230132 in words is "thirteen trillion, twenty-three billion, three hundred thirteen million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 19039931623 38079863246 57119794869 76159726492 114239589738 171359384607 228479179476 342718769214 361758700837 685437538428 723517401674 1085276102511 1447034803348 2170552205022 3255828307533 4341104410044 6511656615066 13023313230132