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11201210420 = 22513710613853
BaseRepresentation
bin10100110111010010…
…01110100000110100
31001220122001110001012
422123221032200310
5140420002213140
65051252451352
7544401501101
oct123351164064
931818043035
1011201210420
1148288781a4
122207319b58
13109681687a
147838c9aa8
15458587265
hex29ba4e834

11201210420 has 48 divisors (see below), whose sum is σ = 23722726608. Its totient is φ = 4442434560.

The previous prime is 11201210407. The next prime is 11201210437. The reversal of 11201210420 is 2401210211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1682476324 + 9518734096 = 41018^2 + 97564^2 .

It is a super-2 number, since 2×112012104202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201210395 and 11201210404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905214 + ... + 2909066.

It is an arithmetic number, because the mean of its divisors is an integer number (494223471).

Almost surely, 211201210420 is an apocalyptic number.

11201210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201210420 is an abundant number, since it is smaller than the sum of its proper divisors (12521516188).

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

11201210420 is a wasteful number, since it uses less digits than its factorization.

11201210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11201210420 its reverse (2401210211), we get a palindrome (13602420631).

The spelling of 11201210420 in words is "eleven billion, two hundred one million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1061 1370 2122 2740 3853 4244 5305 7706 10610 15412 19265 21220 38530 77060 145357 290714 527861 581428 726785 1055722 1453570 2111444 2639305 2907140 4088033 5278610 8176066 10557220 16352132 20440165 40880330 81760660 560060521 1120121042 2240242084 2800302605 5600605210 11201210420