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100002230001 = 32371971524401
BaseRepresentation
bin101110100100010011…
…0001110111011110001
3100120010022211122020100
41131020212032323301
53114301032330001
6113535042503013
710140101633652
oct1351046167361
9316108748210
10100002230001
1139457719583
121746a664a69
13957911077b
144ba9481529
15290452a586
hex174898eef1

100002230001 has 24 divisors (see below), whose sum is σ = 149104808424. Its totient is φ = 64536998400.

The previous prime is 100002229991. The next prime is 100002230017. The reversal of 100002230001 is 100032200001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39585081600 + 60417148401 = 198960^2 + 245799^2 .

It is not a de Polignac number, because 100002230001 - 26 = 100002229937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100002130001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696600 + ... + 827801.

It is an arithmetic number, because the mean of its divisors is an integer number (6212700351).

Almost surely, 2100002230001 is an apocalyptic number.

It is an amenable number.

100002230001 is a deficient number, since it is larger than the sum of its proper divisors (49102578423).

100002230001 is a wasteful number, since it uses less digits than its factorization.

100002230001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524641 (or 1524638 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100002230001 its reverse (100032200001), we get a palindrome (200034430002).

The spelling of 100002230001 in words is "one hundred billion, two million, two hundred thirty thousand, one".

Divisors: 1 3 9 37 111 197 333 591 1773 7289 21867 65601 1524401 4573203 13719609 56402837 169208511 300306997 507625533 900920991 2702762973 11111358889 33334076667 100002230001