Search a number
-
+
20122211002212 = 223811149677691
BaseRepresentation
bin1001001001101000100010…
…01111010010011101100100
32122020122221111000200000000
410210310101033102131210
510114140242004032322
6110444003252021300
74144532101265604
oct444642117223544
978218844020000
1020122211002212
116458866586910
12230b99b901830
13b2c693582527
144d7cc50a6c04
1524d658ecd3ac
hex124d113d2764

20122211002212 has 432 divisors, whose sum is σ = 58176228801600. Its totient is φ = 6039017337600.

The previous prime is 20122211002207. The next prime is 20122211002213. The reversal of 20122211002212 is 21220011222102.

It is a happy number.

It is a super-2 number, since 2×201222110022122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20122211002213) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29120420787 + ... + 29120421477.

It is an arithmetic number, because the mean of its divisors is an integer number (134667196300).

Almost surely, 220122211002212 is an apocalyptic number.

20122211002212 is a gapful number since it is divisible by the number (22) 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 20122211002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29088114400800).

20122211002212 is an abundant number, since it is smaller than the sum of its proper divisors (38054017799388).

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

20122211002212 is a wasteful number, since it uses less digits than its factorization.

20122211002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1533 counting only the distinct ones).

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

Adding to 20122211002212 its reverse (21220011222102), we get a palindrome (41342222224314).

The spelling of 20122211002212 in words is "twenty trillion, one hundred twenty-two billion, two hundred eleven million, two thousand, two hundred twelve".