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1022012021112 = 233107210633499
BaseRepresentation
bin11101101111101001010…
…10011101100101111000
310121200222202220221211020
432313310222131211320
5113221040034133422
62101301132302440
7133560260562465
oct16676452354570
93550882827736
101022012021112
11364484162185
121460a5911a20
13754b57692c4
1437673a3666c
151b8b8e6b95c
hexedf4a9d978

1022012021112 has 96 divisors (see below), whose sum is σ = 2582296080000. Its totient is φ = 337072988736.

The previous prime is 1022012021033. The next prime is 1022012021117. The reversal of 1022012021112 is 2111202102201.

It is a junction number, because it is equal to n+sod(n) for n = 1022012021091 and 1022012021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022012021117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292085139 + ... + 292088637.

It is an arithmetic number, because the mean of its divisors is an integer number (26898917500).

Almost surely, 21022012021112 is an apocalyptic number.

1022012021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022012021112 is an abundant number, since it is smaller than the sum of its proper divisors (1560284058888).

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

1022012021112 is a wasteful number, since it uses less digits than its factorization.

1022012021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022012021112 its reverse (2111202102201), we get a palindrome (3133214123313).

The spelling of 1022012021112 in words is "one trillion, twenty-two billion, twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1063 1284 2126 2568 3189 3499 4252 6378 6998 8504 10497 11449 12756 13996 20994 22898 25512 27992 34347 41988 45796 68694 83976 91592 113741 137388 227482 274776 341223 374393 454964 682446 748786 909928 1123179 1364892 1497572 2246358 2729784 2995144 3719437 4492716 7438874 8985432 11158311 12170287 14877748 22316622 24340574 29755496 36510861 40060051 44633244 48681148 73021722 80120102 89266488 97362296 120180153 146043444 160240204 240360306 292086888 320480408 397979759 480720612 795959518 961441224 1193939277 1591919036 2387878554 3183838072 4775757108 9551514216 42583834213 85167668426 127751502639 170335336852 255503005278 340670673704 511006010556 1022012021112