Search a number
-
+
100023023322 = 2325556834629
BaseRepresentation
bin101110100100111010…
…1100011011011011010
3100120011202222001022100
41131021311203123122
53114321343221242
6113541104304230
710140443445615
oct1351165433332
9316152861270
10100023023322
1139468430942
1217475612076
139580511001
144bac13517c
15290628654c
hex1749d636da

100023023322 has 12 divisors (see below), whose sum is σ = 216716550570. Its totient is φ = 33341007768.

The previous prime is 100023023281. The next prime is 100023023381. The reversal of 100023023322 is 223320320001.

It is a happy number.

100023023322 is a `hidden beast` number, since 100 + 0 + 230 + 2 + 332 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57207550761 + 42815472561 = 239181^2 + 206919^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5556834629 = 100023023322 / (1 + 0 + 0 + 0 + 2 + 3 + 0 + 2 + 3 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 100023023295 and 100023023304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2778417297 + ... + 2778417332.

Almost surely, 2100023023322 is an apocalyptic number.

100023023322 is an abundant number, since it is smaller than the sum of its proper divisors (116693527248).

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

100023023322 is a wasteful number, since it uses less digits than its factorization.

100023023322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556834637 (or 5556834634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100023023322 its reverse (223320320001), we get a palindrome (323343343323).

The spelling of 100023023322 in words is "one hundred billion, twenty-three million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 5556834629 11113669258 16670503887 33341007774 50011511661 100023023322