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210133331331 = 371123152325969
BaseRepresentation
bin1100001110110011101…
…1000010110110000011
3202002101112221020211020
43003230323002312003
511420323113100311
6240311154320523
721116204563020
oct3035473026603
9662345836736
10210133331331
1181131872aa0
1234885289143
1316a7a820511
14a255c30547
1556ecdbcc06
hex30ecec2d83

210133331331 has 64 divisors (see below), whose sum is σ = 364753428480. Its totient is φ = 104341501440.

The previous prime is 210133331311. The next prime is 210133331341. The reversal of 210133331331 is 133133331012.

210133331331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210133331331 - 25 = 210133331299 is a prime.

It is a super-2 number, since 2×2101333313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210133331311) 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 63 ways as a sum of consecutive naturals, for example, 8078715 + ... + 8104683.

It is an arithmetic number, because the mean of its divisors is an integer number (5699272320).

Almost surely, 2210133331331 is an apocalyptic number.

210133331331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210133331331 is a deficient number, since it is larger than the sum of its proper divisors (154620097149).

210133331331 is a wasteful number, since it uses less digits than its factorization.

210133331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27536.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 210133331331 its reverse (133133331012), we get a palindrome (343266662343).

The spelling of 210133331331 in words is "two hundred ten billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1523 1771 4569 5313 10661 16753 25969 31983 35029 50259 77907 105087 117271 181783 245203 285659 351813 385319 545349 597287 735609 856977 1155957 1791861 1999613 2697233 4181009 5998839 6570157 8091699 12543027 19710471 39550787 45991099 118652361 137973297 276855509 435058657 830566527 909668101 1305175971 2729004303 3045410599 6367676707 9136231797 10006349111 19103030121 30019047333 70044443777 210133331331