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332131000131233 = 15710132088335713
BaseRepresentation
bin100101110000100100100011…
…0010010000001111010100001
31121112222102011110100101001122
41023201021012102001322201
5322013113242013144413
63134214513003542025
7126646446542340242
oct11341110622017241
91545872143311048
10332131000131233
1196910a69a33926
1231301267b2a915
1311342a85234a84
145c033248c0cc9
15285e752184108
hex12e1246481ea1

332131000131233 has 8 divisors (see below), whose sum is σ = 334576441411368. Its totient is φ = 329689735524864.

The previous prime is 332131000131223. The next prime is 332131000131289.

332131000131233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5312324303104 + 326818675828129 = 2304848^2 + 18078127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 332131000131233 - 26 = 332131000131169 is a prime.

It is a super-2 number, since 2×3321310001312332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332131000131223) 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 7 ways as a sum of consecutive naturals, for example, 1044008816 + ... + 1044326897.

It is an arithmetic number, because the mean of its divisors is an integer number (41822055176421).

Almost surely, 2332131000131233 is an apocalyptic number.

It is an amenable number.

332131000131233 is a deficient number, since it is larger than the sum of its proper divisors (2445441280135).

332131000131233 is a wasteful number, since it uses less digits than its factorization.

332131000131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088336883.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 332131000 and 131233, that added together give a palindrome (332262233).

The spelling of 332131000131233 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 157 1013 159041 2088335713 327868706941 2115484077269 332131000131233