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1002222221220 = 22325113741333667
BaseRepresentation
bin11101001010110010001…
…10010111011110100100
310112210220120220221220200
432211121012113132210
5112410022342034340
62044225312230500
7132260000215053
oct16453106273644
93483816827820
101002222221220
11357049352660
121422a223b430
13736807aa63c
143671762a39a
151b10b8c2330
hexe9591977a4

1002222221220 has 288 divisors, whose sum is σ = 3489163606656. Its totient is φ = 230629939200.

The previous prime is 1002222221207. The next prime is 1002222221237. The reversal of 1002222221220 is 221222222001.

1002222221220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 222 + 221 + 220 = 666.

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 = 1002222221193 and 1002222221202.

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, 2836827 + ... + 3170493.

It is an arithmetic number, because the mean of its divisors is an integer number (12115151412).

Almost surely, 21002222221220 is an apocalyptic number.

1002222221220 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 1002222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744581803328).

1002222221220 is an abundant number, since it is smaller than the sum of its proper divisors (2486941385436).

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

1002222221220 is a wasteful number, since it uses less digits than its factorization.

1002222221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333771 (or 333766 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002222221220 its reverse (221222222001), we get a palindrome (1223444443221).

It can be divided in two parts, 1002 and 222221220, that added together give a palindrome (222222222).

The spelling of 1002222221220 in words is "one trillion, two billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".