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1002221113032 = 233261228192421
BaseRepresentation
bin11101001010110010000…
…10001000111011001000
310112210220111211122202200
432211121002020323020
5112410022101104112
62044225232400200
7132256654621146
oct16453102107310
93483814748680
101002221113032
11357048765aa7
121422a19a6060
13736804b00c9
143671741c596
151b10b753cdc
hexe959088ec8

1002221113032 has 48 divisors (see below), whose sum is σ = 2758846381980. Its totient is φ = 328597084800.

The previous prime is 1002221113009. The next prime is 1002221113081. The reversal of 1002221113032 is 2303111222001.

It can be written as a sum of positive squares in 2 ways, for example, as 1001828835396 + 392277636 = 1000914^2 + 19806^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1002221112996 and 1002221113014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114091819 + ... + 114100602.

Almost surely, 21002221113032 is an apocalyptic number.

1002221113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002221113032 is an abundant number, since it is smaller than the sum of its proper divisors (1756625268948).

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

1002221113032 is a wasteful number, since it uses less digits than its factorization.

1002221113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228192494 (or 228192487 counting only the distinct ones).

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

Adding to 1002221113032 its reverse (2303111222001), we get a palindrome (3305332335033).

The spelling of 1002221113032 in words is "one trillion, two billion, two hundred twenty-one million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 228192421 456384842 684577263 912769684 1369154526 1825539368 2053731789 2738309052 4107463578 5476618104 8214927156 13919737681 16429854312 27839475362 41759213043 55678950724 83518426086 111357901448 125277639129 167036852172 250555278258 334073704344 501110556516 1002221113032