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220101022011222 = 2321179101927974937
BaseRepresentation
bin110010000010111001000011…
…001110110100111101010110
31001212022110012122211110022100
4302002321003032310331112
5212322113343113324342
62100041002535542530
764234526336302452
oct6202710316647526
91055273178743270
10220101022011222
11641493569a3660
1220829076b2aa46
1395a758ba28201
143c4cd3693d662
151a6a4ecc3ce4c
hexc82e433b4f56

220101022011222 has 192 divisors, whose sum is σ = 527636471731200. Its totient is φ = 65751543037440.

The previous prime is 220101022011197. The next prime is 220101022011257. The reversal of 220101022011222 is 222110220101022.

It is a happy number.

220101022011222 is a `hidden beast` number, since 2 + 201 + 0 + 10 + 220 + 11 + 222 = 666.

220101022011222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220101022011195 and 220101022011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44581934338 + ... + 44581939274.

It is an arithmetic number, because the mean of its divisors is an integer number (2748106623600).

Almost surely, 2220101022011222 is an apocalyptic number.

220101022011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101022011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263818235865600).

220101022011222 is an abundant number, since it is smaller than the sum of its proper divisors (307535449719978).

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

220101022011222 is a wasteful number, since it uses less digits than its factorization.

220101022011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220101022011222 its reverse (222110220101022), we get a palindrome (442211242112244).

The spelling of 220101022011222 in words is "two hundred twenty trillion, one hundred one billion, twenty-two million, eleven thousand, two hundred twenty-two".