Search a number
-
+
100102344040 = 2352502558601
BaseRepresentation
bin101110100111010010…
…0001000110101101000
3100120101022012221212201
41131032210020311220
53120002200002130
6113553020345544
710142425612426
oct1351644106550
9316338187781
10100102344040
11394a9188756
12174980a52b4
139593a9414a
144bb88a2116
15290d203bca
hex174e908d68

100102344040 has 16 divisors (see below), whose sum is σ = 225230274180. Its totient is φ = 40040937600.

The previous prime is 100102344019. The next prime is 100102344047. The reversal of 100102344040 is 40443201001.

It can be written as a sum of positive squares in 2 ways, for example, as 96841705636 + 3260638404 = 311194^2 + 57102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100102343999 and 100102344017.

It is not an unprimeable number, because it can be changed into a prime (100102344047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251279261 + ... + 1251279340.

Almost surely, 2100102344040 is an apocalyptic number.

100102344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102344040 is an abundant number, since it is smaller than the sum of its proper divisors (125127930140).

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

100102344040 is a wasteful number, since it uses less digits than its factorization.

100102344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502558612 (or 2502558608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100102344040 its reverse (40443201001), we get a palindrome (140545545041).

The spelling of 100102344040 in words is "one hundred billion, one hundred two million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2502558601 5005117202 10010234404 12512793005 20020468808 25025586010 50051172020 100102344040