Search a number
-
+
12233234403104 = 251113174310136209
BaseRepresentation
bin1011001000000100010110…
…0101110100111100100000
31121022111010010202101121112
42302001011211310330200
53100412131001344404
642003511552442452
72401551644513021
oct262010545647440
947274103671545
1012233234403104
1139970a399aa50
121456a71549428
136a97871c9830
1430413d8cac48
15163333e1556e
hexb2045974f20

12233234403104 has 384 divisors, whose sum is σ = 30960196565760. Its totient is φ = 4671700992000.

The previous prime is 12233234403097. The next prime is 12233234403179. The reversal of 12233234403104 is 40130443233221.

It is a super-2 number, since 2×122332344031042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337832552 + ... + 337868760.

It is an arithmetic number, because the mean of its divisors is an integer number (80625511890).

Almost surely, 212233234403104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233234403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480098282880).

12233234403104 is an abundant number, since it is smaller than the sum of its proper divisors (18726962162656).

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

12233234403104 is a wasteful number, since it uses less digits than its factorization.

12233234403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36404 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12233234403104 its reverse (40130443233221), we get a palindrome (52363677636325).

The spelling of 12233234403104 in words is "twelve trillion, two hundred thirty-three billion, two hundred thirty-four million, four hundred three thousand, one hundred four".