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1321012330000 = 245411101118903
BaseRepresentation
bin10011001110010010011…
…110000111111000010000
311200021202121202102011121
4103032102132013320100
5133120413124030000
62450510434452024
7164303626351606
oct23162236077020
94607677672147
101321012330000
1146a269026780
12194030434014
13977564384bc
1447d1a0ab876
15245689aab1a
hex13392787e10

1321012330000 has 200 divisors, whose sum is σ = 3523632526656. Its totient is φ = 475608000000.

The previous prime is 1321012329997. The next prime is 1321012330061. The reversal of 1321012330000 is 332101231.

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 (16).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 11050549 + ... + 11169451.

Almost surely, 21321012330000 is an apocalyptic number.

1321012330000 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 1321012330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761816263328).

1321012330000 is an abundant number, since it is smaller than the sum of its proper divisors (2202620196656).

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

1321012330000 is a wasteful number, since it uses less digits than its factorization.

1321012330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119043 (or 119022 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1321012330000 its reverse (332101231), we get a palindrome (1321344431231).

The spelling of 1321012330000 in words is "one trillion, three hundred twenty-one billion, twelve million, three hundred thirty thousand".