Search a number
-
+
12223100033100 = 223252111772626857
BaseRepresentation
bin1011000111011110100110…
…0010010001100001001100
31121021111221212011001111100
42301313221202101201030
53100230402102024400
641555114210023100
72401042546006545
oct261675142214114
947244855131440
1012223100033100
113992873349850
121454b03577a90
136a88307237a8
1430385b98b4cc
15162e3e364100
hexb1de989184c

12223100033100 has 216 divisors, whose sum is σ = 44254159146288. Its totient is φ = 2788871270400.

The previous prime is 12223100033093. The next prime is 12223100033101. The reversal of 12223100033100 is 133000132221.

12223100033100 is a `hidden beast` number, since 1 + 2 + 22 + 310 + 0 + 0 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×122231000331002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12223100033101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36145129 + ... + 36481728.

It is an arithmetic number, because the mean of its divisors is an integer number (204880366418).

Almost surely, 212223100033100 is an apocalyptic number.

12223100033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223100033100 is an abundant number, since it is smaller than the sum of its proper divisors (32031059113188).

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

12223100033100 is a wasteful number, since it uses less digits than its factorization.

12223100033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72626905 (or 72626895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12223100033100 its reverse (133000132221), we get a palindrome (12356100165321).

The spelling of 12223100033100 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, thirty-three thousand, one hundred".