Base | Representation |
---|---|
bin | 11101110100001100100010… |
… | …111001111101001011100000 |
3 | 122012021221001100011111120000 |
4 | 131310030202321331023200 |
5 | 114141414203411213240 |
6 | 1142520221431020000 |
7 | 36422563252261461 |
oct | 3564144271751340 |
9 | 565257040144500 |
10 | 131130232132320 |
11 | 38867023531743 |
12 | 12859b0150a600 |
13 | 58226b2850245 |
14 | 2454a46858d68 |
15 | 1025ee9228430 |
hex | 774322e7d2e0 |
131130232132320 has 480 divisors, whose sum is σ = 469381791707136. Its totient is φ = 34469434137600.
The previous prime is 131130232132313. The next prime is 131130232132327. The reversal of 131130232132320 is 23231232031131.
131130232132320 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 302 + 3 + 2 + 1 + 32 + 320 = 666.
It is an interprime number because it is at equal distance from previous prime (131130232132313) and next prime (131130232132327).
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×1311302321323202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131130232132327) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7790986305 + ... + 7791003135.
Almost surely, 2131130232132320 is an apocalyptic number.
131130232132320 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 131130232132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234690895853568).
131130232132320 is an abundant number, since it is smaller than the sum of its proper divisors (338251559574816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131130232132320 is a wasteful number, since it uses less digits than its factorization.
131130232132320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25396 (or 25379 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 131130232132320 its reverse (23231232031131), we get a palindrome (154361464163451).
The spelling of 131130232132320 in words is "one hundred thirty-one trillion, one hundred thirty billion, two hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".
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