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1022023031112 = 23331910112012053
BaseRepresentation
bin11101101111101010101…
…00011101100101001000
310121201000112122022201000
432313311110131211020
5113221100343443422
62101302204255000
7133560453266556
oct16676524354510
93551015568630
101022023031112
1136448a3a2156
121460a9541460
13754b7b227b5
14376752a0bd6
151b8b9de3cac
hexedf551d948

1022023031112 has 256 divisors, whose sum is σ = 3021943392000. Its totient is φ = 319127040000.

The previous prime is 1022023031089. The next prime is 1022023031143. The reversal of 1022023031112 is 2111303202201.

1022023031112 is a `hidden beast` number, since 102 + 20 + 230 + 311 + 1 + 2 = 666.

It is a super-2 number, since 2×10220230311122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497818278 + ... + 497820330.

It is an arithmetic number, because the mean of its divisors is an integer number (11804466375).

Almost surely, 21022023031112 is an apocalyptic number.

1022023031112 is a gapful number since it is divisible by the number (12) 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 1022023031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510971696000).

1022023031112 is an abundant number, since it is smaller than the sum of its proper divisors (1999920360888).

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

1022023031112 is a wasteful number, since it uses less digits than its factorization.

1022023031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022023031112 its reverse (2111303202201), we get a palindrome (3133326233313).

The spelling of 1022023031112 in words is "one trillion, twenty-two billion, twenty-three million, thirty-one thousand, one hundred twelve".