Search a number
-
+
13023321201000 = 23325311131548699
BaseRepresentation
bin1011110110000011101001…
…1011110001100101101000
31201010000110122110021210200
42331200322123301211220
53201333230211413000
643410455310512200
72512622016501135
oct275407233614550
951100418407720
1013023321201000
114171183334230
12156400bb05660
1373612b459336
1433049144558c
15178b76c92500
hexbd83a6f1968

13023321201000 has 192 divisors, whose sum is σ = 48020537448000. Its totient is φ = 3157168752000.

The previous prime is 13023321200983. The next prime is 13023321201049. The reversal of 13023321201000 is 10212332031.

13023321201000 is a `hidden beast` number, since 1 + 302 + 332 + 1 + 20 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65675350 + ... + 65873349.

It is an arithmetic number, because the mean of its divisors is an integer number (250106965875).

Almost surely, 213023321201000 is an apocalyptic number.

13023321201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023321201000 is an abundant number, since it is smaller than the sum of its proper divisors (34997216247000).

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

13023321201000 is a wasteful number, since it uses less digits than its factorization.

13023321201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131548737 (or 131548720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023321201000 its reverse (10212332031), we get a palindrome (13033533533031).

The spelling of 13023321201000 in words is "thirteen trillion, twenty-three billion, three hundred twenty-one million, two hundred one thousand".