Base | Representation |
---|---|
bin | 11101110100010111110100… |
… | …000111010010011100000000 |
3 | 122012100002021121012110121102 |
4 | 131310113310013102130000 |
5 | 114142113443443000000 |
6 | 1142525542225113532 |
7 | 36423502145406566 |
oct | 3564276407223400 |
9 | 565302247173542 |
10 | 131142332000000 |
11 | 388711725a4392 |
12 | 128603197888a8 |
13 | 58238905b0269 |
14 | 2455473831a36 |
15 | 10264a66243d5 |
hex | 7745f41d2700 |
131142332000000 has 252 divisors, whose sum is σ = 344433145105560. Its totient is φ = 49696012800000.
The previous prime is 131142331999979. The next prime is 131142332000021. The reversal of 131142332000000 is 233241131.
It is an interprime number because it is at equal distance from previous prime (131142331999979) and next prime (131142332000021).
It is a super-2 number, since 2×1311423320000002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75137222 + ... + 76862778.
Almost surely, 2131142332000000 is an apocalyptic number.
131142332000000 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 131142332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216572552780).
131142332000000 is an abundant number, since it is smaller than the sum of its proper divisors (213290813105560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131142332000000 is an frugal number, since it uses more digits than its factorization.
131142332000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1725622 (or 1725583 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 131142332000000 its reverse (233241131), we get a palindrome (131142565241131).
The spelling of 131142332000000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred thirty-two million", and thus it is an aban number.
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