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31830180315156 = 223498241297269
BaseRepresentation
bin1110011110011000010101…
…00101110100000000010100
311011200221020222211210020000
413033030022211310000110
513133001202130041111
6151410325531011300
76463440353366256
oct717141245640024
9134627228753200
1031830180315156
11a162115a82163
1236a0a9ab99b30
13149b75b2009b2
147c08360ddcd6
153a2e991c7c56
hex1cf30a974014

31830180315156 has 30 divisors (see below), whose sum is σ = 83210378787690. Its totient is φ = 10610060104944.

The previous prime is 31830180315151. The next prime is 31830180315217. The reversal of 31830180315156 is 65151308103813.

31830180315156 is a `hidden beast` number, since 3 + 1 + 8 + 3 + 0 + 180 + 315 + 156 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19161805856400 + 12668374458756 = 4377420^2 + 3559266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31830180315151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49120648311 + ... + 49120648958.

It is an arithmetic number, because the mean of its divisors is an integer number (2773679292923).

Almost surely, 231830180315156 is an apocalyptic number.

31830180315156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31830180315156 is an abundant number, since it is smaller than the sum of its proper divisors (51380198472534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31830180315156 is a wasteful number, since it uses less digits than its factorization.

31830180315156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98241297285 (or 98241297274 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 31830180315156 its reverse (65151308103813), we get a palindrome (96981488418969).

The spelling of 31830180315156 in words is "thirty-one trillion, eight hundred thirty billion, one hundred eighty million, three hundred fifteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 98241297269 196482594538 294723891807 392965189076 589447783614 884171675421 1178895567228 1768343350842 2652515026263 3536686701684 5305030052526 7957545078789 10610060105052 15915090157578 31830180315156