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100323400401 = 3279911606897
BaseRepresentation
bin101110101101110111…
…1011001101011010001
3100120221201011210012100
41131123233121223101
53120430242303101
6114030554351013
710151051555550
oct1353357315321
9316851153170
10100323400401
1139601a42664
121753a12b469
1395ca811623
144bd9da5d97
15292281be86
hex175bbd9ad1

100323400401 has 24 divisors (see below), whose sum is σ = 165780452864. Its totient is φ = 57269773440.

The previous prime is 100323400367. The next prime is 100323400417. The reversal of 100323400401 is 104004323001.

It is not a de Polignac number, because 100323400401 - 213 = 100323392209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100323400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741016 + ... + 865881.

Almost surely, 2100323400401 is an apocalyptic number.

It is an amenable number.

100323400401 is a deficient number, since it is larger than the sum of its proper divisors (65457052463).

100323400401 is a wasteful number, since it uses less digits than its factorization.

100323400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607901 (or 1607898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100323400401 its reverse (104004323001), we get a palindrome (204327723402).

The spelling of 100323400401 in words is "one hundred billion, three hundred twenty-three million, four hundred thousand, four hundred one".

Divisors: 1 3 7 9 21 63 991 2973 6937 8919 20811 62433 1606897 4820691 11248279 14462073 33744837 101234511 1592434927 4777304781 11147044489 14331914343 33441133467 100323400401