Search a number
-
+
100420230042 = 23211507172879
BaseRepresentation
bin101110110000110000…
…0110001101110011010
3100121012110101020111100
41131201200301232122
53121130034330132
6114044334012230
710153335604656
oct1354140615632
9317173336440
10100420230042
1139651669160
1217566647076
1396148b5082
144c08bada66
15292b09737c
hex1761831b9a

100420230042 has 24 divisors (see below), whose sum is σ = 237356907840. Its totient is φ = 30430372680.

The previous prime is 100420230017. The next prime is 100420230077. The reversal of 100420230042 is 240032024001.

100420230042 is a `hidden beast` number, since 10 + 0 + 420 + 230 + 0 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100420229997 and 100420230024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253586242 + ... + 253586637.

It is an arithmetic number, because the mean of its divisors is an integer number (9889871160).

Almost surely, 2100420230042 is an apocalyptic number.

100420230042 is an abundant number, since it is smaller than the sum of its proper divisors (136936677798).

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

100420230042 is a wasteful number, since it uses less digits than its factorization.

100420230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507172898 (or 507172895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100420230042 its reverse (240032024001), we get a palindrome (340452254043).

The spelling of 100420230042 in words is "one hundred billion, four hundred twenty million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 507172879 1014345758 1521518637 3043037274 4564555911 5578901669 9129111822 11157803338 16736705007 33473410014 50210115021 100420230042