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131333213002200 = 233521156909349663
BaseRepresentation
bin11101110111001001100101…
…100000100001100111011000
3122020000022222102111001210120
4131313021211200201213120
5114203230410012032300
61143153351203313240
736443340310224306
oct3567114540414730
9566008872431716
10131333213002200
1138935114987570
121289130b37b820
1358388905b6441
1424607c07a3276
15102b4292133a0
hex7772658219d8

131333213002200 has 192 divisors, whose sum is σ = 444154122316800. Its totient is φ = 31837704153600.

The previous prime is 131333213002163. The next prime is 131333213002217. The reversal of 131333213002200 is 2200312333131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375424569 + ... + 375774231.

It is an arithmetic number, because the mean of its divisors is an integer number (2313302720400).

Almost surely, 2131333213002200 is an apocalyptic number.

131333213002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333213002200 is an abundant number, since it is smaller than the sum of its proper divisors (312820909314600).

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

131333213002200 is a wasteful number, since it uses less digits than its factorization.

131333213002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406602 (or 406593 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131333213002200 its reverse (2200312333131), we get a palindrome (133533525335331).

The spelling of 131333213002200 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, two hundred thirteen million, two thousand, two hundred".