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1010012102220 = 223511431031672069
BaseRepresentation
bin11101011001010010110…
…10011001111001001100
310120120000110221220201210
432230221122121321030
5113022001044232340
62051554304334420
7132654020134302
oct16545132317114
93516013856653
101010012102220
1135a386556540
121438b7014410
1374322632694
1436c5603a272
151b415715180
hexeb29699e4c

1010012102220 has 384 divisors, whose sum is σ = 3208161116160. Its totient is φ = 235303326720.

The previous prime is 1010012102213. The next prime is 1010012102287. The reversal of 1010012102220 is 222012100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010012102196 and 1010012102205.

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, 488163346 + ... + 488165414.

It is an arithmetic number, because the mean of its divisors is an integer number (8354586240).

Almost surely, 21010012102220 is an apocalyptic number.

1010012102220 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 1010012102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604080558080).

1010012102220 is an abundant number, since it is smaller than the sum of its proper divisors (2198149013940).

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

1010012102220 is a wasteful number, since it uses less digits than its factorization.

1010012102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010012102220 its reverse (222012100101), we get a palindrome (1232024202321).

The spelling of 1010012102220 in words is "one trillion, ten billion, twelve million, one hundred two thousand, two hundred twenty".