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100402430420 = 2255020121521
BaseRepresentation
bin101110110000001110…
…0111000000111010100
3100121011012212221000002
41131200130320013110
53121111010233140
6114042500310432
710153031402015
oct1354034700724
9317135787002
10100402430420
1139642611026
12175606a2418
139610cc2356
144c0669900c
15292972d415
hex17607381d4

100402430420 has 12 divisors (see below), whose sum is σ = 210845103924. Its totient is φ = 40160972160.

The previous prime is 100402430419. The next prime is 100402430461. The reversal of 100402430420 is 24034204001.

It can be written as a sum of positive squares in 2 ways, for example, as 64448961424 + 35953468996 = 253868^2 + 189614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5020121521 = 100402430420 / (1 + 0 + 0 + 4 + 0 + 2 + 4 + 3 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 100402430392 and 100402430401.

It is a congruent number.

It is an unprimeable number.

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, 2510060741 + ... + 2510060780.

It is an arithmetic number, because the mean of its divisors is an integer number (17570425327).

Almost surely, 2100402430420 is an apocalyptic number.

100402430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100402430420 is an abundant number, since it is smaller than the sum of its proper divisors (110442673504).

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

100402430420 is a wasteful number, since it uses less digits than its factorization.

100402430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020121530 (or 5020121528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100402430420 its reverse (24034204001), we get a palindrome (124436634421).

The spelling of 100402430420 in words is "one hundred billion, four hundred two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 5020121521 10040243042 20080486084 25100607605 50201215210 100402430420