Search a number
-
+
10222121001100 = 2252431237172181
BaseRepresentation
bin1001010011000000010111…
…1001000010000010001100
31100012020002012002020002211
42110300011321002002030
52314434400434013400
633423551053000204
72103344454611011
oct224600571020214
940166065066084
1010222121001100
1132911a48a6808
121191147783064
13591c323b4158
14274a7908b708
1512ad7a447dba
hex94c05e4208c

10222121001100 has 36 divisors (see below), whose sum is σ = 22233469029408. Its totient is φ = 4079361496000.

The previous prime is 10222121001091. The next prime is 10222121001151. The reversal of 10222121001100 is 110012122201.

It is a super-2 number, since 2×102221210011002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118542991 + ... + 118629190.

It is an arithmetic number, because the mean of its divisors is an integer number (617596361928).

Almost surely, 210222121001100 is an apocalyptic number.

10222121001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222121001100 is an abundant number, since it is smaller than the sum of its proper divisors (12011348028308).

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

10222121001100 is a wasteful number, since it uses less digits than its factorization.

10222121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237172626 (or 237172619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10222121001100 its reverse (110012122201), we get a palindrome (10332133123301).

The spelling of 10222121001100 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 862 1724 2155 4310 8620 10775 21550 43100 237172181 474344362 948688724 1185860905 2371721810 4743443620 5929304525 11858609050 23717218100 102221210011 204442420022 408884840044 511106050055 1022212100110 2044424200220 2555530250275 5111060500550 10222121001100