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1010222202120 = 2335233771277503
BaseRepresentation
bin11101011001101011110…
…11110111110100001000
310120120120010022002121120
432230311323313310020
5113022413340431440
62052031211435240
7132662151015405
oct16546573676410
93516503262546
101010222202120
1135a48410771a
12143955455b20
1374357014b51
1436c75ccb2ac
151b428db6dd0
hexeb35ef7d08

1010222202120 has 512 divisors, whose sum is σ = 3312113172480. Its totient is φ = 245802332160.

The previous prime is 1010222202113. The next prime is 1010222202131. The reversal of 1010222202120 is 212022220101.

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 1010222202120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2008393789 + ... + 2008394291.

It is an arithmetic number, because the mean of its divisors is an integer number (6468971040).

Almost surely, 21010222202120 is an apocalyptic number.

1010222202120 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 1010222202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656056586240).

1010222202120 is an abundant number, since it is smaller than the sum of its proper divisors (2301890970360).

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

1010222202120 is a wasteful number, since it uses less digits than its factorization.

1010222202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

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

Adding to 1010222202120 its reverse (212022220101), we get a palindrome (1222244422221).

The spelling of 1010222202120 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty".