Search a number
-
+
130202310201200 = 245217653275310651
BaseRepresentation
bin11101100110101100010110…
…011100101100111101110000
3122002000012220212100100112122
4131212230112130230331300
5114031213312402414300
61140530040543413412
736265543424065106
oct3546542634547560
9562005825310478
10130202310201200
1138539542817816
121272a0b62b4268
1357860433ab803
142421b7b005c76
15100bcda756c85
hex766b1672cf70

130202310201200 has 240 divisors, whose sum is σ = 331870565058336. Its totient is φ = 48919904256000.

The previous prime is 130202310201163. The next prime is 130202310201233. The reversal of 130202310201200 is 2102013202031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12224415875 + ... + 12224426525.

Almost surely, 2130202310201200 is an apocalyptic number.

130202310201200 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 130202310201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165935282529168).

130202310201200 is an abundant number, since it is smaller than the sum of its proper divisors (201668254857136).

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

130202310201200 is a wasteful number, since it uses less digits than its factorization.

130202310201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130202310201200 its reverse (2102013202031), we get a palindrome (132304323403231).

The spelling of 130202310201200 in words is "one hundred thirty trillion, two hundred two billion, three hundred ten million, two hundred one thousand, two hundred".