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11202000420 = 22351314361539
BaseRepresentation
bin10100110111011000…
…01111011000100100
31001220200112120201110
422123230033120210
5140420203003140
65051321425020
7544411301232
oct123354173044
931820476643
1011202000420
114829267796
12220763b170
131096a32320
14783a53952
15458691380
hex29bb0f624

11202000420 has 48 divisors (see below), whose sum is σ = 33778342080. Its totient is φ = 2757415296.

The previous prime is 11202000389. The next prime is 11202000421. The reversal of 11202000420 is 2400020211.

11202000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11202000396 and 11202000405.

It is not an unprimeable number, because it can be changed into a prime (11202000421) 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 15 ways as a sum of consecutive naturals, for example, 7179990 + ... + 7181549.

It is an arithmetic number, because the mean of its divisors is an integer number (703715460).

Almost surely, 211202000420 is an apocalyptic number.

11202000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202000420 is an abundant number, since it is smaller than the sum of its proper divisors (22576341660).

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

11202000420 is a wasteful number, since it uses less digits than its factorization.

11202000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361564 (or 14361562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11202000420 its reverse (2400020211), we get a palindrome (13602020631).

The spelling of 11202000420 in words is "eleven billion, two hundred two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 14361539 28723078 43084617 57446156 71807695 86169234 143615390 172338468 186700007 215423085 287230780 373400014 430846170 560100021 746800028 861692340 933500035 1120200042 1867000070 2240400084 2800500105 3734000140 5601000210 11202000420