Search a number
-
+
211012112102122 = 223137277120878543
BaseRepresentation
bin101111111110101000010101…
…111111000011001011101010
31000200010120010220100021102201
4233332220111333003023222
5210124210301144231442
62024441343121250414
762306056563623212
oct5776502577031352
91020116126307381
10211012112102122
1161264809230911
121b7bb689493a0a
139098483b37866
143a1707da39242
15195dd98c5e7b7
hexbfea15fc32ea

211012112102122 has 32 divisors (see below), whose sum is σ = 333891681265152. Its totient is φ = 99820532955264.

The previous prime is 211012112102089. The next prime is 211012112102123. The reversal of 211012112102122 is 221201211210112.

It is a happy number.

It is a super-2 number, since 2×2110121121021222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211012112102122.

It is not an unprimeable number, because it can be changed into a prime (211012112102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58693618 + ... + 62184925.

It is an arithmetic number, because the mean of its divisors is an integer number (10434115039536).

Almost surely, 2211012112102122 is an apocalyptic number.

211012112102122 is a deficient number, since it is larger than the sum of its proper divisors (122879569163030).

211012112102122 is a wasteful number, since it uses less digits than its factorization.

211012112102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120878982.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211012112102122 its reverse (221201211210112), we get a palindrome (432213323312234).

The spelling of 211012112102122 in words is "two hundred eleven trillion, twelve billion, one hundred twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 23 46 137 274 277 554 3151 6302 6371 12742 37949 75898 872827 1745654 120878543 241757086 2780206489 5560412978 16560360391 33120720782 33483356411 66966712822 380888288993 761776577986 770117197453 1540234394906 4587219828307 9174439656614 105506056051061 211012112102122