Search a number
-
+
100332102001 = 1769117474889
BaseRepresentation
bin101110101110001000…
…0100110000101110001
3100120222022112212112211
41131130100212011301
53120440004231001
6114031505052121
710151215536625
oct1353420460561
9316868485484
10100332102001
113960694626a
1217541027041
1395cc56a1c1
144bdb1cd185
15292348a351
hex175c426171

100332102001 has 16 divisors (see below), whose sum is σ = 106470400320. Its totient is φ = 94220305920.

The previous prime is 100332101981. The next prime is 100332102011. The reversal of 100332102001 is 100201233001.

It is a cyclic number.

It is not a de Polignac number, because 100332102001 - 213 = 100332093809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100332102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20519565 + ... + 20524453.

It is an arithmetic number, because the mean of its divisors is an integer number (6654400020).

Almost surely, 2100332102001 is an apocalyptic number.

It is an amenable number.

100332102001 is a deficient number, since it is larger than the sum of its proper divisors (6138298319).

100332102001 is a wasteful number, since it uses less digits than its factorization.

100332102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100332102001 its reverse (100201233001), we get a palindrome (200533335002).

The spelling of 100332102001 in words is "one hundred billion, three hundred thirty-two million, one hundred two thousand, one".

Divisors: 1 17 691 1747 4889 11747 29699 83113 1207177 3378299 8541083 20522009 57431083 145198411 5901888353 100332102001