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1022010101112 = 2337112132521571
BaseRepresentation
bin11101101111101001000…
…11001000110101111000
310121200222122022102002010
432313310203020311320
5113221034041213422
62101301023205520
7133560235345020
oct16676443106570
93550878272063
101022010101112
11364483070700
121460a51468a0
13754b5246400
1437673696a80
151b8b8bdcb0c
hexedf48c8d78

1022010101112 has 576 divisors, whose sum is σ = 3488273268480. Its totient is φ = 244138752000.

The previous prime is 1022010101093. The next prime is 1022010101159. The reversal of 1022010101112 is 2111010102201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1789859787 + ... + 1789860357.

It is an arithmetic number, because the mean of its divisors is an integer number (6056029980).

Almost surely, 21022010101112 is an apocalyptic number.

1022010101112 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 1022010101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744136634240).

1022010101112 is an abundant number, since it is smaller than the sum of its proper divisors (2466263167368).

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

1022010101112 is a wasteful number, since it uses less digits than its factorization.

1022010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022010101112 its reverse (2111010102201), we get a palindrome (3133020203313).

The spelling of 1022010101112 in words is "one trillion, twenty-two billion, ten million, one hundred one thousand, one hundred twelve".