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1010221220220 = 2235175367278911
BaseRepresentation
bin11101011001101011110…
…00001000000101111100
310120120120001110012200220
432230311320020011330
5113022413113021340
62052031134421340
7132662136455622
oct16546570100574
93516501405626
101010221220220
1135a4835a6a33
12143955061850
1374356a5cc44
1436c75b13512
151b428c70ed0
hexeb35e0817c

1010221220220 has 192 divisors, whose sum is σ = 3097074548736. Its totient is φ = 245048094720.

The previous prime is 1010221220213. The next prime is 1010221220221. The reversal of 1010221220220 is 220221220101.

1010221220220 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010221220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221220221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3482565 + ... + 3761475.

It is an arithmetic number, because the mean of its divisors is an integer number (16130596608).

Almost surely, 21010221220220 is an apocalyptic number.

1010221220220 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 1010221220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548537274368).

1010221220220 is an abundant number, since it is smaller than the sum of its proper divisors (2086853328516).

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

1010221220220 is a wasteful number, since it uses less digits than its factorization.

1010221220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279060 (or 279058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1010221220220 its reverse (220221220101), we get a palindrome (1230442440321).

The spelling of 1010221220220 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty".