Search a number
-
+
100005504431 = 747059303587
BaseRepresentation
bin101110100100011001…
…0101110010110101111
3100120010112222222220112
41131020302232112233
53114302402120211
6113535241010235
710140141522260
oct1351062562657
9316115888815
10100005504431
1139459555718
121746b78397b
1395799b8cc1
144ba9a94967
15290497588b
hex1748cae5af

100005504431 has 8 divisors (see below), whose sum is σ = 114294810240. Its totient is φ = 85716899928.

The previous prime is 100005504421. The next prime is 100005504449. The reversal of 100005504431 is 134405500001.

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-100005504431 is a prime.

It is a super-2 number, since 2×1000055044312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100005504397 and 100005504406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005504421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177620 + ... + 481206.

It is an arithmetic number, because the mean of its divisors is an integer number (14286851280).

Almost surely, 2100005504431 is an apocalyptic number.

100005504431 is a deficient number, since it is larger than the sum of its proper divisors (14289305809).

100005504431 is an equidigital number, since it uses as much as digits as its factorization.

100005504431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350653.

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 100005504431 in words is "one hundred billion, five million, five hundred four thousand, four hundred thirty-one".

Divisors: 1 7 47059 303587 329413 2125109 14286500633 100005504431