Search a number
-
+
111022101221112 = 2335174971167579
BaseRepresentation
bin11001001111100101011000…
…111001111100111011111000
3112120002121110010022120100000
4121033211120321330323320
5104022441230403033422
61032042503232113000
732246040110533554
oct3117453071747370
9476077403276300
10111022101221112
1132414232887684
12105509b1095760
1349c445436c513
141d5b6d9756864
15cc7e163edcac
hex64f958e7cef8

111022101221112 has 192 divisors, whose sum is σ = 330175292428800. Its totient is φ = 34829247075840.

The previous prime is 111022101221111. The next prime is 111022101221113. The reversal of 111022101221112 is 211122101220111.

It is a happy number.

111022101221112 is a `hidden beast` number, since 1 + 110 + 221 + 0 + 1 + 221 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (111022101221111) and next prime (111022101221113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022101221111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642815339 + ... + 1642882917.

It is an arithmetic number, because the mean of its divisors is an integer number (1719662981400).

Almost surely, 2111022101221112 is an apocalyptic number.

111022101221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022101221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087646214400).

111022101221112 is an abundant number, since it is smaller than the sum of its proper divisors (219153191207688).

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

111022101221112 is a wasteful number, since it uses less digits than its factorization.

111022101221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117328 (or 117312 counting only the distinct ones).

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

Adding to 111022101221112 its reverse (211122101220111), we get a palindrome (322144202441223).

The spelling of 111022101221112 in words is "one hundred eleven trillion, twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twelve".