| Base | Representation |
|---|---|
| bin | 11101110010010011100100… |
| … | …111110111001001011110000 |
| 3 | 122011211111210020010220212120 |
| 4 | 131302103210332321023300 |
| 5 | 114132302201110023100 |
| 6 | 1142340421034154240 |
| 7 | 36410314436243514 |
| oct | 3562234476711360 |
| 9 | 564744706126776 |
| 10 | 131000344220400 |
| 11 | 38816a3015aa96 |
| 12 | 128388b2282980 |
| 13 | 5813382c62325 |
| 14 | 244c64420a144 |
| 15 | 10229461560a0 |
| hex | 7724e4fb92f0 |
131000344220400 has 240 divisors, whose sum is σ = 444475285912800. Its totient is φ = 32867200532480.
The previous prime is 131000344220387. The next prime is 131000344220401. The reversal of 131000344220400 is 4022443000131.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1310003442204002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131000344220401) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58239856 + ... + 60447344.
It is an arithmetic number, because the mean of its divisors is an integer number (1851980357970).
Almost surely, 2131000344220400 is an apocalyptic number.
131000344220400 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 131000344220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222237642956400).
131000344220400 is an abundant number, since it is smaller than the sum of its proper divisors (313474941692400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000344220400 is a wasteful number, since it uses less digits than its factorization.
131000344220400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2210436 (or 2210425 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 131000344220400 its reverse (4022443000131), we get a palindrome (135022787220531).
The spelling of 131000344220400 in words is "one hundred thirty-one trillion, three hundred forty-four million, two hundred twenty thousand, four hundred".
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