Search a number
-
+
100022202210111 = 3401669771241381
BaseRepresentation
bin10110101111100000111011…
…110101010001011100111111
3111010011000210020200122212220
4112233200323311101130333
5101102230432231210421
6552421322041100423
730032236261621626
oct2657407365213477
9433130706618786
10100022202210111
11299631a5635255
12b274b81187713
1343a708cb4718c
141a9b15978c6bd
15b86c18a423c6
hex5af83bd5173f

100022202210111 has 16 divisors (see below), whose sum is σ = 133697616022368. Its totient is φ = 66514133504000.

The previous prime is 100022202210107. The next prime is 100022202210137. The reversal of 100022202210111 is 111012202220001.

It is a cyclic number.

It is not a de Polignac number, because 100022202210111 - 22 = 100022202210107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022202210611) 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, 79952641 + ... + 81194021.

It is an arithmetic number, because the mean of its divisors is an integer number (8356101001398).

Almost surely, 2100022202210111 is an apocalyptic number.

100022202210111 is a deficient number, since it is larger than the sum of its proper divisors (33675413812257).

100022202210111 is a wasteful number, since it uses less digits than its factorization.

100022202210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308762.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022202210111 its reverse (111012202220001), we get a palindrome (211034404430112).

The spelling of 100022202210111 in words is "one hundred trillion, twenty-two billion, two hundred two million, two hundred ten thousand, one hundred eleven".

Divisors: 1 3 401 1203 66977 200931 1241381 3724143 26857777 80573331 497793781 1493381343 83143975237 249431925711 33340734070037 100022202210111