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220101021102200 = 235278631251114561
BaseRepresentation
bin110010000010111001000011…
…001011010111000001111000
31001212022110012121010021100212
4302002321003023113001320
5212322113342400232300
62100041002504250252
764234526325465320
oct6202710313270170
91055273177107325
10220101021102200
11641493564326a7
1220829076770988
1395a758b79a524
143c4cd36784280
151a6a4ecb0d935
hexc82e432d7078

220101021102200 has 192 divisors, whose sum is σ = 585604553195520. Its totient is φ = 75364563456000.

The previous prime is 220101021102119. The next prime is 220101021102251. The reversal of 220101021102200 is 2201120101022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15115782920 + ... + 15115797480.

It is an arithmetic number, because the mean of its divisors is an integer number (3050023714560).

Almost surely, 2220101021102200 is an apocalyptic number.

220101021102200 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 220101021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292802276597760).

220101021102200 is an abundant number, since it is smaller than the sum of its proper divisors (365503532093320).

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

220101021102200 is a wasteful number, since it uses less digits than its factorization.

220101021102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27958 (or 27949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220101021102200 its reverse (2201120101022), we get a palindrome (222302141203222).

The spelling of 220101021102200 in words is "two hundred twenty trillion, one hundred one billion, twenty-one million, one hundred two thousand, two hundred".