Search a number
-
+
11122101300 = 22352151245521
BaseRepresentation
bin10100101101110110…
…11100110000110100
31001201010012021201210
422112323130300310
5140234224220200
65035345121420
7542421205212
oct122673346064
931633167653
1011122101300
114798155362
1221a4929270
131083308b3b
147771b5cb2
1545165c650
hex296edcc34

11122101300 has 72 divisors (see below), whose sum is σ = 32393190592. Its totient is φ = 2946240000.

The previous prime is 11122101293. The next prime is 11122101311. The reversal of 11122101300 is 310122111.

It is a super-4 number, since 4×111221013004 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77461 + ... + 168060.

Almost surely, 211122101300 is an apocalyptic number.

11122101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122101300 is an abundant number, since it is smaller than the sum of its proper divisors (21271089292).

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

11122101300 is a wasteful number, since it uses less digits than its factorization.

11122101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245689 (or 245682 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11122101300 its reverse (310122111), we get a palindrome (11432223411).

The spelling of 11122101300 in words is "eleven billion, one hundred twenty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 45300 245521 491042 736563 982084 1227605 1473126 2455210 2946252 3682815 4910420 6138025 7365630 12276050 14731260 18414075 24552100 36828150 37073671 73656300 74147342 111221013 148294684 185368355 222442026 370736710 444884052 556105065 741473420 926841775 1112210130 1853683550 2224420260 2780525325 3707367100 5561050650 11122101300