Search a number
-
+
131422402334300 = 22527111011312774657
BaseRepresentation
bin11101111000011100101001…
…100110110100111001011100
3122020022212012011221120121212
4131320130221212310321130
5114211211034444144200
61143302341304243552
736452645434103510
oct3570345146647134
9566285164846555
10131422402334300
1138969a22a40890
12128a66607705b8
13584410548bc6c
142464c41b5a140
15102d8e930c035
hex7787299b4e5c

131422402334300 has 576 divisors, whose sum is σ = 363202935524352. Its totient is φ = 40093747200000.

The previous prime is 131422402334287. The next prime is 131422402334383. The reversal of 131422402334300 is 3433204224131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28220397572 + ... + 28220402228.

It is an arithmetic number, because the mean of its divisors is an integer number (630560651952).

Almost surely, 2131422402334300 is an apocalyptic number.

131422402334300 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 131422402334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181601467762176).

131422402334300 is an abundant number, since it is smaller than the sum of its proper divisors (231780533190052).

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

131422402334300 is a wasteful number, since it uses less digits than its factorization.

131422402334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5191 counting only the distinct ones).

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

Adding to 131422402334300 its reverse (3433204224131), we get a palindrome (134855606558431).

The spelling of 131422402334300 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred two million, three hundred thirty-four thousand, three hundred".