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100434402001 = 4153127439829
BaseRepresentation
bin101110110001001011…
…0110101101011010001
3100121020110001020202201
41131202112311223101
53121142201331001
6114050001443201
710153600221433
oct1354226655321
9317213036681
10100434402001
113965966881a
121756b340501
13961780784b
144c0aa1c653
15292c446501
hex17625b5ad1

100434402001 has 32 divisors (see below), whose sum is σ = 106019020800. Its totient is φ = 95046981120.

The previous prime is 100434401959. The next prime is 100434402023. The reversal of 100434402001 is 100204434001.

It is a cyclic number.

It is not a de Polignac number, because 100434402001 - 213 = 100434393809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100434402001.

It is not an unprimeable number, because it can be changed into a prime (100434402031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121150855 + ... + 121151683.

It is an arithmetic number, because the mean of its divisors is an integer number (3313094400).

Almost surely, 2100434402001 is an apocalyptic number.

It is an amenable number.

100434402001 is a deficient number, since it is larger than the sum of its proper divisors (5584618799).

100434402001 is a wasteful number, since it uses less digits than its factorization.

100434402001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100434402001 its reverse (100204434001), we get a palindrome (200638836002).

The spelling of 100434402001 in words is "one hundred billion, four hundred thirty-four million, four hundred two thousand, one".

Divisors: 1 41 53 127 439 829 2173 5207 6731 17999 23267 33989 43937 55753 105283 275971 363931 953947 1801417 2285873 2954909 4316603 5579999 14921171 19288343 46219237 121151269 228779959 790822063 1894988717 2449619561 100434402001