Search a number
-
+
12220210010100 = 223521923471983253
BaseRepresentation
bin1011000111010011110101…
…0001101101011111110100
31121021020111110001200020110
42301310331101231133310
53100203442230310400
641553515330503020
72400611124141531
oct261647521553764
947236443050213
1012220210010100
11399161aa74794
121454437734a70
136a848ca67001
14303665c11d88
15162d20795e50
hexb1d3d46d7f4

12220210010100 has 288 divisors, whose sum is σ = 39662541434880. Its totient is φ = 2890153474560.

The previous prime is 12220210010093. The next prime is 12220210010143. The reversal of 12220210010100 is 101001202221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5170074 + ... + 7153326.

It is an arithmetic number, because the mean of its divisors is an integer number (137717157760).

Almost surely, 212220210010100 is an apocalyptic number.

12220210010100 is a gapful number since it is divisible by the number (10) 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 12220210010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831270717440).

12220210010100 is an abundant number, since it is smaller than the sum of its proper divisors (27442331424780).

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

12220210010100 is a wasteful number, since it uses less digits than its factorization.

12220210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983359 (or 1983352 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220210010100 its reverse (101001202221), we get a palindrome (12321211212321).

The spelling of 12220210010100 in words is "twelve trillion, two hundred twenty billion, two hundred ten million, ten thousand, one hundred".