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11200210120 = 2351122314093
BaseRepresentation
bin10100110111001010…
…11010010011001000
31001220120011121220001
422123211122103020
5140414223210440
65051215212344
7544360133551
oct123345322310
931816147801
1011200210120
114828254700
122206b170b4
131096556488
14783709328
1545843ab9a
hex29b95a4c8

11200210120 has 48 divisors (see below), whose sum is σ = 27699705180. Its totient is φ = 4072801920.

The previous prime is 11200210103. The next prime is 11200210139. The reversal of 11200210120 is 2101200211.

It can be written as a sum of positive squares in 2 ways, for example, as 10050864516 + 1149345604 = 100254^2 + 33902^2 .

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 = 11200210097 and 11200210106.

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, 1152207 + ... + 1161886.

Almost surely, 211200210120 is an apocalyptic number.

11200210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200210120 is an abundant number, since it is smaller than the sum of its proper divisors (16499495060).

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

11200210120 is a wasteful number, since it uses less digits than its factorization.

11200210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314126 (or 2314111 counting only the distinct ones).

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

Adding to 11200210120 its reverse (2101200211), we get a palindrome (13301410331).

Subtracting from 11200210120 its reverse (2101200211), we obtain a palindrome (9099009909).

The spelling of 11200210120 in words is "eleven billion, two hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2314093 4628186 9256372 11570465 18512744 23140930 25455023 46281860 50910046 92563720 101820092 127275115 203640184 254550230 280005253 509100460 560010506 1018200920 1120021012 1400026265 2240042024 2800052530 5600105060 11200210120