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1021012122112 = 2910119744201
BaseRepresentation
bin11101101101110010001…
…00001001101000000000
310121121102002102211020221
432312321010021220000
5113212013100401422
62101014013112424
7133523426562163
oct16667104115000
93547362384227
101021012122112
113640107a8274
12145a66a88714
13753865660a8
14375bad13ada
151b85b2aa3c7
hexedb9109a00

1021012122112 has 40 divisors (see below), whose sum is σ = 2060228501892. Its totient is φ = 505451520000.

The previous prime is 1021012122107. The next prime is 1021012122113. The reversal of 1021012122112 is 2112212101201.

It can be written as a sum of positive squares in 2 ways, for example, as 852859638016 + 168152484096 = 923504^2 + 410064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1021012122113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9820389 + ... + 9923812.

Almost surely, 21021012122112 is an apocalyptic number.

It is an amenable number.

1021012122112 is an abundant number, since it is smaller than the sum of its proper divisors (1039216379780).

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

1021012122112 is an equidigital number, since it uses as much as digits as its factorization.

1021012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19744320 (or 19744304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1021012122112 its reverse (2112212101201), we get a palindrome (3133224223313).

The spelling of 1021012122112 in words is "one trillion, twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1616 3232 6464 12928 25856 51712 19744201 39488402 78976804 157953608 315907216 631814432 1263628864 1994164301 2527257728 3988328602 5054515456 7976657204 10109030912 15953314408 31906628816 63813257632 127626515264 255253030528 510506061056 1021012122112