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10003222240031 = 187746491146347
BaseRepresentation
bin1001000110010000111010…
…0000100001101100011111
31022102022001202110000011202
42101210032200201230133
52302343044343140111
633135230012510115
72051465113053146
oct221441640415437
938368052400152
1010003222240031
113207385197709
121156836a7b33b
135773b88b2c27
1426823106675d
15125317c85b3b
hex9190e821b1f

10003222240031 has 8 divisors (see below), whose sum is σ = 10010713179600. Its totient is φ = 9995733606208.

The previous prime is 10003222239977. The next prime is 10003222240069. The reversal of 10003222240031 is 13004222230001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10003222240031 - 218 = 10003221977887 is a prime.

It is a super-2 number, since 2×100032222400312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003222239985 and 10003222240012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003222240331) 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 7 ways as a sum of consecutive naturals, for example, 8153000 + ... + 9299346.

It is an arithmetic number, because the mean of its divisors is an integer number (1251339147450).

Almost surely, 210003222240031 is an apocalyptic number.

10003222240031 is a deficient number, since it is larger than the sum of its proper divisors (7490939569).

10003222240031 is a wasteful number, since it uses less digits than its factorization.

10003222240031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152873.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10003222240031 its reverse (13004222230001), we get a palindrome (23007444470032).

The spelling of 10003222240031 in words is "ten trillion, three billion, two hundred twenty-two million, two hundred forty thousand, thirty-one".

Divisors: 1 1877 4649 1146347 8726173 2151693319 5329367203 10003222240031