Search a number
-
+
100332202221 = 3216096928541
BaseRepresentation
bin101110101110001000…
…0111110100011101101
3100120222022201222000200
41131130100332203231
53120440020432341
6114031511144113
710151216435046
oct1353420764355
9316868658020
10100332202221
1139606a04599
1217541075039
1395cc5a39c4
144bdb2178cd
1529234a9db6
hex175c43e8ed

100332202221 has 12 divisors (see below), whose sum is σ = 145014384060. Its totient is φ = 66846553920.

The previous prime is 100332202189. The next prime is 100332202273. The reversal of 100332202221 is 122202233001.

It can be written as a sum of positive squares in 2 ways, for example, as 98790776100 + 1541426121 = 314310^2 + 39261^2 .

It is not a de Polignac number, because 100332202221 - 25 = 100332202189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100332202194 and 100332202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332207221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3449790 + ... + 3478751.

It is an arithmetic number, because the mean of its divisors is an integer number (12084532005).

Almost surely, 2100332202221 is an apocalyptic number.

It is an amenable number.

100332202221 is a deficient number, since it is larger than the sum of its proper divisors (44682181839).

100332202221 is a wasteful number, since it uses less digits than its factorization.

100332202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930156 (or 6930153 counting only the distinct ones).

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

Adding to 100332202221 its reverse (122202233001), we get a palindrome (222534435222).

The spelling of 100332202221 in words is "one hundred billion, three hundred thirty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 1609 4827 14481 6928541 20785623 62356869 11148022469 33444067407 100332202221