Search a number
-
+
13302111005100 = 223252731311545553
BaseRepresentation
bin1100000110010010001110…
…0110011110100110101100
31202002200001222122201121200
43001210203212132212230
53220420210404130400
644142523323525500
72542021465644621
oct301444346364654
952080058581550
1013302111005100
114269436971405
1215aa056089890
137564cac59068
1433db7b67a348
15181042333b00
hexc192399e9ac

13302111005100 has 216 divisors, whose sum is σ = 42588556522512. Its totient is φ = 3471928012800.

The previous prime is 13302111005063. The next prime is 13302111005111. The reversal of 13302111005100 is 150011120331.

13302111005100 is a `hidden beast` number, since 1 + 3 + 30 + 21 + 1 + 100 + 510 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7833924 + ... + 9379476.

Almost surely, 213302111005100 is an apocalyptic number.

13302111005100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302111005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294278261256).

13302111005100 is an abundant number, since it is smaller than the sum of its proper divisors (29286445517412).

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

13302111005100 is a wasteful number, since it uses less digits than its factorization.

13302111005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545777 (or 1545767 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 13302111005100 its reverse (150011120331), we get a palindrome (13452122125431).

The spelling of 13302111005100 in words is "thirteen trillion, three hundred two billion, one hundred eleven million, five thousand, one hundred".