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220213002210000 = 2435411716268517
BaseRepresentation
bin110010000100100001010101…
…110001011000101011010000
31001212201011020202022221201220
4302010201111301120223100
5212330432212031210000
62100204242344125040
764245602324264262
oct6204412561305320
91055634222287656
10220213002210000
116419189a896388
1220846908a66780
1395b4cc6558667
143c5451ab05b32
151a6d3a3ad61a0
hexc84855c58ad0

220213002210000 has 200 divisors, whose sum is σ = 711484114629024. Its totient is φ = 58673309760000.

The previous prime is 220213002209999. The next prime is 220213002210023. The reversal of 220213002210000 is 12200312022.

It is a happy number.

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 (15).

It is a congruent number.

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, 31995742 + ... + 38264258.

Almost surely, 2220213002210000 is an apocalyptic number.

220213002210000 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 220213002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355742057314512).

220213002210000 is an abundant number, since it is smaller than the sum of its proper divisors (491271112419024).

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

220213002210000 is a wasteful number, since it uses less digits than its factorization.

220213002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269719 (or 6269698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220213002210000 its reverse (12200312022), we get a palindrome (220225202522022).

The spelling of 220213002210000 in words is "two hundred twenty trillion, two hundred thirteen billion, two million, two hundred ten thousand".