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210131002233 = 3289353743161
BaseRepresentation
bin1100001110110011001…
…0001010001101111001
3202002101101112220220100
43003230302022031321
511420322014032413
6240311032350013
721116146022445
oct3035462121571
9662341486810
10210131002233
1181130522119
1234884545309
1316a7a1b6359
14a2557c5825
1556ecaaca73
hex30ecc8a379

210131002233 has 24 divisors (see below), whose sum is σ = 307802837160. Its totient is φ = 138120744960.

The previous prime is 210131002177. The next prime is 210131002261. The reversal of 210131002233 is 332200131012.

210131002233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8087045184 + 202043957049 = 89928^2 + 449493^2 .

It is not a de Polignac number, because 210131002233 - 212 = 210130998137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210131002033) 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 23 ways as a sum of consecutive naturals, for example, 88828 + ... + 654333.

It is an arithmetic number, because the mean of its divisors is an integer number (12825118215).

Almost surely, 2210131002233 is an apocalyptic number.

It is an amenable number.

210131002233 is a deficient number, since it is larger than the sum of its proper divisors (97671834927).

210131002233 is a wasteful number, since it uses less digits than its factorization.

210131002233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743609 (or 743606 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210131002233 its reverse (332200131012), we get a palindrome (542331133245).

The spelling of 210131002233 in words is "two hundred ten billion, one hundred thirty-one million, two thousand, two hundred thirty-three".

Divisors: 1 3 9 89 267 353 801 1059 3177 31417 94251 282753 743161 2229483 6688449 66141329 198423987 262335833 595271961 787007499 2361022497 23347889137 70043667411 210131002233