Base | Representation |
---|---|
bin | 11101110010010011010010… |
… | …111011000000110100100100 |
3 | 122011211111000002222120011102 |
4 | 131302103102323000310210 |
5 | 114132301041022310340 |
6 | 1142340331011455232 |
7 | 36410304066600614 |
oct | 3562232273006444 |
9 | 564744002876142 |
10 | 131000041213220 |
11 | 38816895112233 |
12 | 128388288b7518 |
13 | 581333525083a |
14 | 244c615c92a44 |
15 | 1022929751215 |
hex | 7724d2ec0d24 |
131000041213220 has 96 divisors (see below), whose sum is σ = 286722136592640. Its totient is φ = 50231670128640.
The previous prime is 131000041213219. The next prime is 131000041213229. The reversal of 131000041213220 is 22312140000131.
It is a super-2 number, since 2×1310000412132202 (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 junction number, because it is equal to n+sod(n) for n = 131000041213192 and 131000041213201.
It is not an unprimeable number, because it can be changed into a prime (131000041213229) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101586209 + ... + 102867671.
It is an arithmetic number, because the mean of its divisors is an integer number (2986688922840).
Almost surely, 2131000041213220 is an apocalyptic number.
131000041213220 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 131000041213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143361068296320).
131000041213220 is an abundant number, since it is smaller than the sum of its proper divisors (155722095379420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000041213220 is a wasteful number, since it uses less digits than its factorization.
131000041213220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1283685 (or 1283683 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 131000041213220 its reverse (22312140000131), we get a palindrome (153312181213351).
The spelling of 131000041213220 in words is "one hundred thirty-one trillion, forty-one million, two hundred thirteen thousand, two hundred twenty".
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