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1002223150401 = 31137820821581
BaseRepresentation
bin11101001010110010010…
…01111010010101000001
310112210220122200011111210
432211121021322111001
5112410023111303101
62044225344200333
7132260011135044
oct16453111722501
93483818604453
101002223150401
11357049927780
121422a26090a9
1373680a44555
14367177ccc5b
151b10ba077d6
hexe95927a541

1002223150401 has 16 divisors (see below), whose sum is σ = 1497178565568. Its totient is φ = 590991537600.

The previous prime is 1002223150351. The next prime is 1002223150433. The reversal of 1002223150401 is 1040513222001.

It is not a de Polignac number, because 1002223150401 - 213 = 1002223142209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002223150471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 410409570 + ... + 410412011.

It is an arithmetic number, because the mean of its divisors is an integer number (93573660348).

Almost surely, 21002223150401 is an apocalyptic number.

1002223150401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002223150401 is a deficient number, since it is larger than the sum of its proper divisors (494955415167).

1002223150401 is a wasteful number, since it uses less digits than its factorization.

1002223150401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820821632.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 1002223150401 its reverse (1040513222001), we get a palindrome (2042736372402).

The spelling of 1002223150401 in words is "one trillion, two billion, two hundred twenty-three million, one hundred fifty thousand, four hundred one".

Divisors: 1 3 11 33 37 111 407 1221 820821581 2462464743 9029037391 27087112173 30370398497 91111195491 334074383467 1002223150401