Search a number
-
+
11221000120 = 23511107238339
BaseRepresentation
bin10100111001101001…
…01101111110111000
31001222000021212102001
422130310231332320
5140440034000440
65053240550344
7545031633031
oct123464557670
931860255361
1011221000120
114838a64520
122211a823b4
13109a955355
1478639ba88
1545a195b9a
hex29cd2dfb8

11221000120 has 64 divisors (see below), whose sum is σ = 27799977600. Its totient is φ = 4042212480.

The previous prime is 11221000079. The next prime is 11221000139. The reversal of 11221000120 is 2100012211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11221000097 and 11221000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72090 + ... + 166249.

It is an arithmetic number, because the mean of its divisors is an integer number (434374650).

Almost surely, 211221000120 is an apocalyptic number.

11221000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221000120 is an abundant number, since it is smaller than the sum of its proper divisors (16578977480).

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

11221000120 is a wasteful number, since it uses less digits than its factorization.

11221000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238468 (or 238464 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11221000120 its reverse (2100012211), we get a palindrome (13321012331).

The spelling of 11221000120 in words is "eleven billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 238339 476678 953356 1191695 1906712 2383390 2621729 4766780 5243458 9533560 10486916 13108645 20973832 25502273 26217290 51004546 52434580 102009092 104869160 127511365 204018184 255022730 280525003 510045460 561050006 1020090920 1122100012 1402625015 2244200024 2805250030 5610500060 11221000120