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131221323330000 = 2435440903106937
BaseRepresentation
bin11101110101100001011000…
…010111010011000111010000
3122012121122011122022210111020
4131311201120113103013100
5114144412232233030000
61143030124351315440
736432266501550411
oct3565413027230720
9565548148283436
10131221323330000
11388a17180a57a2
12128736a381bb80
13582b16b760807
142459208643808
15102857b29cba0
hex7758585d31d0

131221323330000 has 200 divisors, whose sum is σ = 423614245399488. Its totient is φ = 34991170176000.

The previous prime is 131221323329989. The next prime is 131221323330049. The reversal of 131221323330000 is 33323122131.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 1227036532 + ... + 1227143468.

Almost surely, 2131221323330000 is an apocalyptic number.

131221323330000 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 131221323330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211807122699744).

131221323330000 is an abundant number, since it is smaller than the sum of its proper divisors (292392922069488).

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

131221323330000 is a wasteful number, since it uses less digits than its factorization.

131221323330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147871 (or 147850 counting only the distinct ones).

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

Adding to 131221323330000 its reverse (33323122131), we get a palindrome (131254646452131).

The spelling of 131221323330000 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred twenty-three million, three hundred thirty thousand".