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100412304431 = 177307808349
BaseRepresentation
bin101110110000100001…
…0100010110000101111
3100121011220110120121012
41131201002202300233
53121121022220211
6114043452055435
710153211335145
oct1354102426057
9317156416535
10100412304431
113964814556a
1217563a6457b
13961306b76a
144c07b09595
15292a52dd8b
hex17610a2c2f

100412304431 has 8 divisors (see below), whose sum is σ = 106333592400. Its totient is φ = 94492647808.

The previous prime is 100412304389. The next prime is 100412304449. The reversal of 100412304431 is 134403214001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100412304431 is a prime.

It is a super-2 number, since 2×1004123044312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100412304397 and 100412304406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412304481) 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 7 ways as a sum of consecutive naturals, for example, 279956 + ... + 528393.

It is an arithmetic number, because the mean of its divisors is an integer number (13291699050).

Almost surely, 2100412304431 is an apocalyptic number.

100412304431 is a deficient number, since it is larger than the sum of its proper divisors (5921287969).

100412304431 is an equidigital number, since it uses as much as digits as its factorization.

100412304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815673.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100412304431 its reverse (134403214001), we get a palindrome (234815518432).

The spelling of 100412304431 in words is "one hundred billion, four hundred twelve million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 17 7307 124219 808349 13741933 5906606143 100412304431