Search a number
-
+
100022202112122 = 23221871254071099
BaseRepresentation
bin10110101111100000111011…
…110100111001100001111010
3111010011000210020111200110200
4112233200323310321201322
5101102230432220041442
6552421322035023030
730032236261033143
oct2657407364714172
9433130706450420
10100022202112122
11299631a5578674
12b274b8113aa76
1343a708cb116b4
141a9b159764aca
15b86c18a2334c
hex5af83bd3987a

100022202112122 has 24 divisors (see below), whose sum is σ = 216724680868800. Its totient is φ = 33339209479560.

The previous prime is 100022202112003. The next prime is 100022202112127. The reversal of 100022202112122 is 221211202220001.

It is a happy number.

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 = 100022202112095 and 100022202112104.

It is not an unprimeable number, because it can be changed into a prime (100022202112127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126641872 + ... + 127429227.

It is an arithmetic number, because the mean of its divisors is an integer number (9030195036200).

Almost surely, 2100022202112122 is an apocalyptic number.

100022202112122 is an abundant number, since it is smaller than the sum of its proper divisors (116702478756678).

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

100022202112122 is a wasteful number, since it uses less digits than its factorization.

100022202112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254092978 (or 254092975 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100022202112122 its reverse (221211202220001), we get a palindrome (321233404332123).

The spelling of 100022202112122 in words is "one hundred trillion, twenty-two billion, two hundred two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 21871 43742 65613 131226 196839 393678 254071099 508142198 762213297 1524426594 2286639891 4573279782 5556789006229 11113578012458 16670367018687 33340734037374 50011101056061 100022202112122