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1002232002133 = 37596724128433
BaseRepresentation
bin11101001010110011010…
…11101011011001010101
310112210221021022212210201
432211121223223121111
5112410032343032013
62044230302020501
7132260146312615
oct16453153533125
93483837285721
101002232002133
1135705392315a
121422a5577731
137368282356b
1436718a54a45
151b10c6a53dd
hexe959aeb655

1002232002133 has 32 divisors (see below), whose sum is σ = 1066834581120. Its totient is φ = 940357693440.

The previous prime is 1002232002071. The next prime is 1002232002173. The reversal of 1002232002133 is 3312002322001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002232002133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002232002133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002232002173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35234685 + ... + 35263117.

It is an arithmetic number, because the mean of its divisors is an integer number (33338580660).

Almost surely, 21002232002133 is an apocalyptic number.

It is an amenable number.

1002232002133 is a deficient number, since it is larger than the sum of its proper divisors (64602578987).

1002232002133 is a wasteful number, since it uses less digits than its factorization.

1002232002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28837.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1002232002133 its reverse (3312002322001), we get a palindrome (4314234324134).

The spelling of 1002232002133 in words is "one trillion, two billion, two hundred thirty-two million, two thousand, one hundred thirty-three".

Divisors: 1 37 59 67 241 2183 2479 3953 8917 14219 16147 28433 146261 526103 597439 952673 1052021 1677547 1905011 6852353 35248901 62069239 70485407 112395649 253537061 404288827 459107651 4158639013 14958686599 16986983087 27087351409 1002232002133