Search a number
-
+
222010121110100 = 2252139107291488671
BaseRepresentation
bin110010011110101011000010…
…011001111100001001010100
31002010001221221001121002010212
4302132223002121330021110
5213044403212001010400
62104102012555104552
764522462523013221
oct6236530231741124
91063057831532125
10222010121110100
1164814a66635a74
1220a97070442158
1396b560691970b
143cb74c09bc948
151a9eed5735335
hexc9eac267c254

222010121110100 has 72 divisors (see below), whose sum is σ = 485273428012800. Its totient is φ = 88156893715200.

The previous prime is 222010121110087. The next prime is 222010121110123. The reversal of 222010121110100 is 1011121010222.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148388765 + ... + 149877435.

It is an arithmetic number, because the mean of its divisors is an integer number (6739908722400).

Almost surely, 2222010121110100 is an apocalyptic number.

222010121110100 is a gapful number since it is divisible by the number (20) 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 222010121110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242636714006400).

222010121110100 is an abundant number, since it is smaller than the sum of its proper divisors (263263306902700).

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

222010121110100 is a wasteful number, since it uses less digits than its factorization.

222010121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499553 (or 1499546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 222010121110100 its reverse (1011121010222), we get a palindrome (223021242120322).

The spelling of 222010121110100 in words is "two hundred twenty-two trillion, ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 10729 13900 21458 42916 53645 107290 214580 268225 536450 1072900 1488671 1491331 2977342 2982662 5954684 5965324 7443355 7456655 14886710 14913310 29773420 29826620 37216775 37283275 74433550 74566550 148867100 149133100 206925269 413850538 827701076 1034626345 2069252690 4138505380 5173131725 10346263450 15971951159 20692526900 31943902318 63887804636 79859755795 159719511590 319439023180 399298778975 798597557950 1597195115900 2220101211101 4440202422202 8880404844404 11100506055505 22201012111010 44402024222020 55502530277525 111005060555050 222010121110100