Search a number
-
+
103030031312100 = 2232521747527912413
BaseRepresentation
bin10111011011010010001100…
…011010101110010011100100
3111111210120112000210112020100
4113123102030122232103210
5102001021001003441400
61003043202025304100
730462450136300164
oct2733221432562344
9444716460715210
10103030031312100
112a912877763152
12b67bab1035030
1345648c86821b9
141b629743845a4
15bda0aa775100
hex5db48c6ae4e4

103030031312100 has 216 divisors, whose sum is σ = 323214010479360. Its totient is φ = 27451535005440.

The previous prime is 103030031312041. The next prime is 103030031312141. The reversal of 103030031312100 is 1213130030301.

It is a happy number.

103030031312100 is a `hidden beast` number, since 1 + 0 + 30 + 300 + 313 + 1 + 21 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8300165494 + ... + 8300177906.

Almost surely, 2103030031312100 is an apocalyptic number.

103030031312100 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 103030031312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161607005239680).

103030031312100 is an abundant number, since it is smaller than the sum of its proper divisors (220183979167260).

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

103030031312100 is a wasteful number, since it uses less digits than its factorization.

103030031312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19459 (or 19449 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103030031312100 its reverse (1213130030301), we get a palindrome (104243161342401).

The spelling of 103030031312100 in words is "one hundred three trillion, thirty billion, thirty-one million, three hundred twelve thousand, one hundred".