Search a number
-
+
2312211230100 = 22325217219467879
BaseRepresentation
bin100001101001011010100…
…001110110110110010100
322012001012222100122021200
4201221122201312312110
5300340402033330400
64530114251112500
7326023515113352
oct41513241666624
98161188318250
102312211230100
1181166aa61a92
12314156a42730
1313a06b214505
147dca96b67d2
154022c733b00
hex21a5a876d94

2312211230100 has 324 divisors, whose sum is σ = 8104121407200. Its totient is φ = 549775365120.

The previous prime is 2312211230053. The next prime is 2312211230107. The reversal of 2312211230100 is 10321122132.

2312211230100 is a `hidden beast` number, since 2 + 312 + 21 + 1 + 230 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312211230107) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4707961 + ... + 5175839.

Almost surely, 22312211230100 is an apocalyptic number.

2312211230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312211230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052060703600).

2312211230100 is an abundant number, since it is smaller than the sum of its proper divisors (5791910177100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2312211230100 is a wasteful number, since it uses less digits than its factorization.

2312211230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467952 (or 467925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2312211230100 its reverse (10321122132), we get a palindrome (2322532352232).

The spelling of 2312211230100 in words is "two trillion, three hundred twelve billion, two hundred eleven million, two hundred thirty thousand, one hundred".