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211315211102466 = 23211739733950137
BaseRepresentation
bin110000000011000010101000…
…000101111110100100000010
31000201012112111101120211110100
4300003002220011332210002
5210144142023020234331
62025232511240543230
762340006631621152
oct6003025005764402
91021175441524410
10211315211102466
1161371306766a19
121b84a378781b16
1390bac28a01483
143a279d4594762
151966bd851aae6
hexc030a817e902

211315211102466 has 12 divisors (see below), whose sum is σ = 457849624055382. Its totient is φ = 70438403700816.

The previous prime is 211315211102407. The next prime is 211315211102477. The reversal of 211315211102466 is 664201112513112.

211315211102466 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 52 + 1 + 110 + 2 + 466 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193763476811025 + 17551734291441 = 13919895^2 + 4189479^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211315211102466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5869866975051 + ... + 5869866975086.

Almost surely, 2211315211102466 is an apocalyptic number.

211315211102466 is an abundant number, since it is smaller than the sum of its proper divisors (246534412952916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211315211102466 is a wasteful number, since it uses less digits than its factorization.

211315211102466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739733950145 (or 11739733950142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 211315211102466 its reverse (664201112513112), we get a palindrome (875516323615578).

The spelling of 211315211102466 in words is "two hundred eleven trillion, three hundred fifteen billion, two hundred eleven million, one hundred two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 11739733950137 23479467900274 35219201850411 70438403700822 105657605551233 211315211102466