Search a number
-
+
10222113100 = 2252234444397
BaseRepresentation
bin10011000010100100…
…10001000101001100
3222101101201011000111
421201102101011030
5131413330104400
64410155205404
7511212346003
oct114122210514
928341634014
1010222113100
114376130961
121b93446864
13c6ba17944
146cd85dc3a
153ec6343ba
hex26149114c

10222113100 has 36 divisors (see below), whose sum is σ = 23146424784. Its totient is φ = 3911068480.

The previous prime is 10222113091. The next prime is 10222113119. The reversal of 10222113100 is 131122201.

It is a super-2 number, since 2×102221131002 (a number of 21 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, 2219899 + ... + 2224498.

It is an arithmetic number, because the mean of its divisors is an integer number (642956244).

Almost surely, 210222113100 is an apocalyptic number.

10222113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222113100 is an abundant number, since it is smaller than the sum of its proper divisors (12924311684).

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

10222113100 is a wasteful number, since it uses less digits than its factorization.

10222113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444434 (or 4444427 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10222113100 its reverse (131122201), we get a palindrome (10353235301).

The spelling of 10222113100 in words is "ten billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 4444397 8888794 17777588 22221985 44443970 88887940 102221131 111109925 204442262 222219850 408884524 444439700 511105655 1022211310 2044422620 2555528275 5111056550 10222113100