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221032020000000 = 2835711334897
BaseRepresentation
bin110010010000011100000111…
…000010010011110100000000
31001222121110021111210112011010
4302100130013002103310000
5212432342034110000000
62102032412545520520
764362015335525226
oct6220340702236400
91058543244715133
10221032020000000
1164478175aa71a0
12209595a0343140
1396442cb560cc1
143c82014b16b16
151a8483b7c8d50
hexc90707093d00

221032020000000 has 576 divisors, whose sum is σ = 802183312030464. Its totient is φ = 53583360000000.

The previous prime is 221032019999993. The next prime is 221032020000007. The reversal of 221032020000000 is 20230122.

It is an interprime number because it is at equal distance from previous prime (221032019999993) and next prime (221032020000007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221032020000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659832552 + ... + 660167448.

It is an arithmetic number, because the mean of its divisors is an integer number (1392679361164).

Almost surely, 2221032020000000 is an apocalyptic number.

221032020000000 is a gapful number since it is divisible by the number (20) 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 221032020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401091656015232).

221032020000000 is an abundant number, since it is smaller than the sum of its proper divisors (581151292030464).

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

221032020000000 is an frugal number, since it uses more digits than its factorization.

221032020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334962 (or 334918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 221032020000000 its reverse (20230122), we get a palindrome (221032040230122).

The spelling of 221032020000000 in words is "two hundred twenty-one trillion, thirty-two billion, twenty million", and thus it is an aban number.