Search a number
-
+
11122100200 = 2352373314897
BaseRepresentation
bin10100101101110110…
…11100011111101000
31001201010012020020001
422112323130133220
5140234224201300
65035345112344
7542421202051
oct122673343750
931633166201
1011122100200
114798154552
1221a49286b4
1310833084a3
147771b5728
1545165c16a
hex296edc7e8

11122100200 has 48 divisors (see below), whose sum is σ = 25867546380. Its totient is φ = 4447349760.

The previous prime is 11122100189. The next prime is 11122100233. The reversal of 11122100200 is 200122111.

It can be written as a sum of positive squares in 6 ways, for example, as 7137208324 + 3984891876 = 84482^2 + 63126^2 .

It is a super-2 number, since 2×111221002002 (a number of 21 digits) contains 22 as substring.

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

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, 739152 + ... + 754048.

Almost surely, 211122100200 is an apocalyptic number.

11122100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122100200 is an abundant number, since it is smaller than the sum of its proper divisors (14745446180).

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

11122100200 is a wasteful number, since it uses less digits than its factorization.

11122100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18646 (or 18637 counting only the distinct ones).

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

Adding to 11122100200 its reverse (200122111), we get a palindrome (11322222311).

The spelling of 11122100200 in words is "eleven billion, one hundred twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3733 7466 14897 14932 18665 29794 29864 37330 59588 74485 74660 93325 119176 148970 149320 186650 297940 372425 373300 595880 744850 746600 1489700 2979400 55610501 111221002 222442004 278052505 444884008 556105010 1112210020 1390262525 2224420040 2780525050 5561050100 11122100200