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210012211021131 = 32297996291057781
BaseRepresentation
bin101111110000000101000111…
…001111001000010101001011
31000112120222020002001110022200
4233300011013033020111023
5210011320002010134011
62022354140003051243
762143611236644611
oct5760050717102513
91015528202043280
10210012211021131
1160a09751129272
121b679934670b23
1390250b31c479c
1439c09067c16b1
151942d76037856
hexbf01473c854b

210012211021131 has 48 divisors (see below), whose sum is σ = 317816948592000. Its totient is φ = 133455143727360.

The previous prime is 210012211021103. The next prime is 210012211021153. The reversal of 210012211021131 is 131120112210012.

It is a happy number.

210012211021131 is a `hidden beast` number, since 210 + 0 + 1 + 2 + 211 + 0 + 211 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-210012211021131 is a prime.

It is a super-2 number, since 2×2100122110211312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210012211026131) 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 47 ways as a sum of consecutive naturals, for example, 198011461 + ... + 199069241.

It is an arithmetic number, because the mean of its divisors is an integer number (6621186429000).

Almost surely, 2210012211021131 is an apocalyptic number.

210012211021131 is a deficient number, since it is larger than the sum of its proper divisors (107804737570869).

210012211021131 is a wasteful number, since it uses less digits than its factorization.

210012211021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067524 (or 1067521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 210012211021131 its reverse (131120112210012), we get a palindrome (341132323231143).

The spelling of 210012211021131 in words is "two hundred ten trillion, twelve billion, two hundred eleven million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 29 79 87 237 261 711 2291 6873 9629 20619 28887 86661 279241 760691 837723 1057781 2282073 2513169 3173343 6846219 9520029 22060039 30675649 66180117 83564699 92026947 198540351 250694097 276080841 752082291 2423376271 7270128813 10185373249 21810386439 30556119747 91668359241 295375824221 804644486671 886127472663 2413933460013 2658382417989 7241800380039 23334690113459 70004070340377 210012211021131