Search a number
-
+
100221001023 = 31113298055703
BaseRepresentation
bin101110101010110100…
…0110001110100111111
3100120200120111100122210
41131111220301310333
53120223034013043
6114012455511503
710145366311233
oct1352550616477
9316616440583
10100221001023
113955a162480
121750b988593
1395b253a990
144bca54c5c3
152918841633
hex1755a31d3f

100221001023 has 32 divisors (see below), whose sum is σ = 162402992640. Its totient is φ = 54134317440.

The previous prime is 100221001009. The next prime is 100221001031. The reversal of 100221001023 is 320100122001.

It is not a de Polignac number, because 100221001023 - 25 = 100221000991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221001003) 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, 4015411 + ... + 4040292.

It is an arithmetic number, because the mean of its divisors is an integer number (5075093520).

Almost surely, 2100221001023 is an apocalyptic number.

100221001023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100221001023 is a deficient number, since it is larger than the sum of its proper divisors (62181991617).

100221001023 is a wasteful number, since it uses less digits than its factorization.

100221001023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055759.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100221001023 its reverse (320100122001), we get a palindrome (420321123024).

The spelling of 100221001023 in words is "one hundred billion, two hundred twenty-one million, one thousand, twenty-three".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 4147 12441 8055703 24167109 88612733 104724139 233615387 265838199 314172417 700846161 1151965529 2569769257 3037000031 3455896587 7709307771 9111000093 33407000341 100221001023