Search a number
-
+
211110101111022 = 23377417211282081
BaseRepresentation
bin110000000000000011100110…
…100101011101000011101110
31000200110221001220221200111120
4300000003212211131003232
5210132311441341023042
62024554350330001410
762316126051512001
oct6000034645350356
91020427056850446
10211110101111022
11612a23224a25a3
121b816675876266
1390a479bb22229
143a1bad797d538
1519616d1664dec
hexc000e695d0ee

211110101111022 has 32 divisors (see below), whose sum is σ = 433632481893024. Its totient is φ = 68467995187200.

The previous prime is 211110101110999. The next prime is 211110101111027. The reversal of 211110101111022 is 220111101011112.

It is a super-2 number, since 2×2111101011110222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211110101110992 and 211110101111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110101111027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164021022 + ... + 165303102.

It is an arithmetic number, because the mean of its divisors is an integer number (13551015059157).

Almost surely, 2211110101111022 is an apocalyptic number.

211110101111022 is an abundant number, since it is smaller than the sum of its proper divisors (222522380782002).

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

211110101111022 is a wasteful number, since it uses less digits than its factorization.

211110101111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023844.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211110101111022 its reverse (220111101011112), we get a palindrome (431221202122134).

The spelling of 211110101111022 in words is "two hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 37 74 111 222 741721 1282081 1483442 2225163 2564162 3846243 4450326 7692486 27443677 47436997 54887354 82331031 94873994 142310991 164662062 284621982 950946401401 1901892802802 2852839204203 5705678408406 35185016851837 70370033703674 105555050555511 211110101111022