Search a number
-
+
211110101122122 = 23237316982133817
BaseRepresentation
bin110000000000000011100110…
…100101011111110001001010
31000200110221001220222020201200
4300000003212211133301022
5210132311441341401442
62024554350330125030
762316126051556236
oct6000034645376112
91020427056866650
10211110101122122
11612a23224aa974
121b816675880776
1390a479bb272b7
143a1bad79835c6
1519616d166834c
hexc000e695fc4a

211110101122122 has 24 divisors (see below), whose sum is σ = 469767522318276. Its totient is φ = 68468140904256.

The previous prime is 211110101122103. The next prime is 211110101122133. The reversal of 211110101122122 is 221221101011112.

It is a happy number.

211110101122122 is a `hidden beast` number, since 211 + 110 + 101 + 1 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158129593851681 + 52980507270441 = 12574959^2 + 7278771^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211110101122095 and 211110101122104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158491066243 + ... + 158491067574.

Almost surely, 2211110101122122 is an apocalyptic number.

211110101122122 is an abundant number, since it is smaller than the sum of its proper divisors (258657421196154).

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

211110101122122 is a wasteful number, since it uses less digits than its factorization.

211110101122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316982133862 (or 316982133859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211110101122122 its reverse (221221101011112), we get a palindrome (432331202133234).

The spelling of 211110101122122 in words is "two hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 316982133817 633964267634 950946401451 1901892802902 2852839204353 5705678408706 11728338951229 23456677902458 35185016853687 70370033707374 105555050561061 211110101122122