Search a number
-
+
10011110111022 = 2341244211666417
BaseRepresentation
bin1001000110101110010010…
…1010010111011100101110
31022110001102110212100222210
42101223210222113130232
52303010223142023042
633143012425151250
72052164432623446
oct221534452273456
938401373770883
1010011110111022
11320a762739959
12115827862b526
13578074b26907
1426877c8a3126
1512562a4d2a9c
hex91ae4a9772e

10011110111022 has 32 divisors (see below), whose sum is σ = 20511419239584. Its totient is φ = 3255510297600.

The previous prime is 10011110110997. The next prime is 10011110111027. The reversal of 10011110111022 is 22011101111001.

It is a junction number, because it is equal to n+sod(n) for n = 10011110110989 and 10011110111007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011110111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5174358 + ... + 6840774.

It is an arithmetic number, because the mean of its divisors is an integer number (640981851237).

Almost surely, 210011110111022 is an apocalyptic number.

10011110111022 is an abundant number, since it is smaller than the sum of its proper divisors (10500309128562).

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

10011110111022 is a wasteful number, since it uses less digits than its factorization.

10011110111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690884.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011110111022 its reverse (22011101111001), we get a palindrome (32022211222023).

The spelling of 10011110111022 in words is "ten trillion, eleven billion, one hundred ten million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 41 82 123 246 24421 48842 73263 146526 1001261 1666417 2002522 3003783 3332834 4999251 6007566 9998502 68323097 136646194 204969291 409938582 40695569557 81391139114 122086708671 244173417342 1668518351837 3337036703674 5005555055511 10011110111022