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1012022023320 = 2333572113156081
BaseRepresentation
bin11101011101000010011…
…01101001010010011000
310120202012112222111011000
432232201031221102120
5113040110114221240
62052525544105000
7133054564156500
oct16564115512230
93522175874130
101012022023320
11360218059a60
12144178165160
1374582b716c9
1436da6d58a00
151b4d1dd7430
hexeba1369498

1012022023320 has 768 divisors, whose sum is σ = 4419082137600. Its totient is φ = 203503104000.

The previous prime is 1012022023249. The next prime is 1012022023421. The reversal of 1012022023320 is 233202202101.

1012022023320 is a `hidden beast` number, since 1 + 0 + 120 + 220 + 2 + 3 + 320 = 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 = 1012022023293 and 1012022023302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18017680 + ... + 18073760.

It is an arithmetic number, because the mean of its divisors is an integer number (5754013200).

Almost surely, 21012022023320 is an apocalyptic number.

1012022023320 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 1012022023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209541068800).

1012022023320 is an abundant number, since it is smaller than the sum of its proper divisors (3407060114280).

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

1012022023320 is a wasteful number, since it uses less digits than its factorization.

1012022023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56157 (or 56140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1012022023320 its reverse (233202202101), we get a palindrome (1245224225421).

The spelling of 1012022023320 in words is "one trillion, twelve billion, twenty-two million, twenty-three thousand, three hundred twenty".