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131121022230000 = 24325411237577607
BaseRepresentation
bin11101110100000011111101…
…111100111101110111110000
3122012021001021111002222200200
4131310003331330331313300
5114141241323142330000
61142512055510515200
736422116110351345
oct3564037574756760
9565231244088620
10131121022230000
1138863127804820
1212858171065b00
1358218757596ba
1424544116047cc
151025b5a8d8500
hex7740fdf3ddf0

131121022230000 has 1200 divisors, whose sum is σ = 522743061874176. Its totient is φ = 30360718080000.

The previous prime is 131121022229969. The next prime is 131121022230001. The reversal of 131121022230000 is 32220121131.

131121022230000 is a `hidden beast` number, since 131 + 1 + 2 + 10 + 222 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121022230001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17236886197 + ... + 17236893803.

Almost surely, 2131121022230000 is an apocalyptic number.

131121022230000 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 131121022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261371530937088).

131121022230000 is an abundant number, since it is smaller than the sum of its proper divisors (391622039644176).

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

131121022230000 is a wasteful number, since it uses less digits than its factorization.

131121022230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8432 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131121022230000 its reverse (32220121131), we get a palindrome (131153242351131).

The spelling of 131121022230000 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, twenty-two million, two hundred thirty thousand".