Search a number
-
+
222010100130000 = 24354721311617483
BaseRepresentation
bin110010011110101011000001…
…001001111010000011010000
31002010001221212121010011212010
4302132223001021322003100
5213044403141113130000
62104102010525302520
764522462146462600
oct6236530111720320
91063057777104763
10222010100130000
1164814a55806346
1220a97065404a40
1396b5602482160
143cb74bbcbac00
151a9eed398dd50
hexc9eac127a0d0

222010100130000 has 600 divisors, whose sum is σ = 897816729155808. Its totient is φ = 46841687424000.

The previous prime is 222010100129971. The next prime is 222010100130011. The reversal of 222010100130000 is 31001010222.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 13301259 + ... + 24918741.

Almost surely, 2222010100130000 is an apocalyptic number.

222010100130000 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 222010100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448908364577904).

222010100130000 is an abundant number, since it is smaller than the sum of its proper divisors (675806629025808).

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

222010100130000 is a wasteful number, since it uses less digits than its factorization.

222010100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617541 (or 11617513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 222010100130000 its reverse (31001010222), we get a palindrome (222041101140222).

The spelling of 222010100130000 in words is "two hundred twenty-two trillion, ten billion, one hundred million, one hundred thirty thousand".