Search a number
-
+
11121003220 = 2251725932611
BaseRepresentation
bin10100101101101110…
…10000101011010100
31001201001010111110011
422112313100223110
5140233434100340
65035305410004
7542405652625
oct122667205324
931631114404
1011121003220
114797575358
1221a4499904
1310830130a2
14776daba4c
154514e20ea
hex296dd0ad4

11121003220 has 72 divisors (see below), whose sum is σ = 25229947680. Its totient is φ = 4115642880.

The previous prime is 11121003211. The next prime is 11121003227. The reversal of 11121003220 is 2230012111.

11121003220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11121003220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121003227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324715 + ... + 357325.

It is an arithmetic number, because the mean of its divisors is an integer number (350415940).

Almost surely, 211121003220 is an apocalyptic number.

11121003220 is a gapful number since it is divisible by the number (10) 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 11121003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614973840).

11121003220 is an abundant number, since it is smaller than the sum of its proper divisors (14108944460).

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

11121003220 is a wasteful number, since it uses less digits than its factorization.

11121003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32713 (or 32694 counting only the distinct ones).

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

Adding to 11121003220 its reverse (2230012111), we get a palindrome (13351015331).

The spelling of 11121003220 in words is "eleven billion, one hundred twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 289 295 340 578 590 1003 1156 1180 1445 2006 2890 4012 5015 5780 10030 17051 20060 32611 34102 65222 68204 85255 130444 163055 170510 326110 341020 554387 652220 1108774 1924049 2217548 2771935 3848098 5543870 7696196 9424579 9620245 11087740 18849158 19240490 32708833 37698316 38480980 47122895 65417666 94245790 130835332 163544165 188491580 327088330 556050161 654176660 1112100322 2224200644 2780250805 5560501610 11121003220