| Base | Representation |
|---|---|
| bin | 1111101110011… |
| … | …00111011111000 |
| 3 | 100012012210110000 |
| 4 | 13313030323320 |
| 5 | 232232131131 |
| 6 | 21031153000 |
| 7 | 3161141250 |
| oct | 767147370 |
| 9 | 305183400 |
| 10 | 131911416 |
| 11 | 68507aaa |
| 12 | 38215760 |
| 13 | 214377c0 |
| 14 | 1373a960 |
| 15 | b8a9ce6 |
| hex | 7dccef8 |
131911416 has 160 divisors (see below), whose sum is σ = 454940640. Its totient is φ = 34774272.
The previous prime is 131911411. The next prime is 131911421. The reversal of 131911416 is 614119131.
It is an interprime number because it is at equal distance from previous prime (131911411) and next prime (131911421).
It is a super-2 number, since 2×1319114162 = 34801243342250112, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 131911416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131911411) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57850 + ... + 60086.
It is an arithmetic number, because the mean of its divisors is an integer number (2843379).
Almost surely, 2131911416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131911416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227470320).
131911416 is an abundant number, since it is smaller than the sum of its proper divisors (323029224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131911416 is a wasteful number, since it uses less digits than its factorization.
131911416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2275 (or 2262 counting only the distinct ones).
The product of its digits is 648, while the sum is 27.
The square root of 131911416 is about 11485.2695223055. The cubic root of 131911416 is about 509.0504129584.
The spelling of 131911416 in words is "one hundred thirty-one million, nine hundred eleven thousand, four hundred sixteen".
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