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1021223232032 = 2529445121
BaseRepresentation
bin11101101110001011010…
…01011110001000100000
310121121221210200022121212
432313011221132020200
5113212431121411112
62101050554005252
7133531602151043
oct16670551361040
93547853608555
101021223232032
11364109989283
12145b05716828
13753bb2101c3
14375dad88c5a
151b86eaab522
hexedc5a5e220

1021223232032 has 60 divisors (see below), whose sum is σ = 2082384045126. Its totient is φ = 492993392640.

The previous prime is 1021223232017. The next prime is 1021223232049. The reversal of 1021223232032 is 2302323221201.

It can be written as a sum of positive squares in 5 ways, for example, as 21455218576 + 999768013456 = 146476^2 + 999884^2 .

It is a super-2 number, since 2×10212232320322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021223231989 and 1021223232007.

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 9 ways as a sum of consecutive naturals, for example, 22610432 + ... + 22655552.

Almost surely, 21021223232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021223232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041192022563).

1021223232032 is an abundant number, since it is smaller than the sum of its proper divisors (1061160813094).

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

1021223232032 is an frugal number, since it uses more digits than its factorization.

1021223232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45247 (or 45152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1021223232032 its reverse (2302323221201), we get a palindrome (3323546453233).

The spelling of 1021223232032 in words is "one trillion, twenty-one billion, two hundred twenty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 13456 24389 26912 45121 48778 90242 97556 180484 195112 360968 390224 707281 721936 780448 1308509 1414562 1443872 2617018 2829124 5234036 5658248 10468072 11316496 20936144 22632992 37946761 41872288 75893522 151787044 303574088 607148176 1100456069 1214296352 2200912138 4401824276 8803648552 17607297104 31913226001 35214594208 63826452002 127652904004 255305808008 510611616016 1021223232032