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11212355420 = 22572101113279
BaseRepresentation
bin10100111000100111…
…01111011101011100
31001221102000200002222
422130103233131130
5140430330333140
65052331404512
7544565306600
oct123423573534
931842020088
1011212355420
11483409a642
12220abb3738
131098c19646
1478518b500
154595395b5
hex29c4ef75c

11212355420 has 72 divisors (see below), whose sum is σ = 27661616640. Its totient is φ = 3806140800.

The previous prime is 11212355387. The next prime is 11212355431. The reversal of 11212355420 is 2455321211.

It is a self number, because there is not a number n which added to its sum of digits gives 11212355420.

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, 42341 + ... + 155619.

It is an arithmetic number, because the mean of its divisors is an integer number (384189120).

Almost surely, 211212355420 is an apocalyptic number.

11212355420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830808320).

11212355420 is an abundant number, since it is smaller than the sum of its proper divisors (16449261220).

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

11212355420 is a wasteful number, since it uses less digits than its factorization.

11212355420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113403 (or 113394 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 11212355420 its reverse (2455321211), we get a palindrome (13667676631).

The spelling of 11212355420 in words is "eleven billion, two hundred twelve million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 113279 226558 453116 566395 792953 1132790 1585906 2265580 3171812 3964765 5550671 7929530 11101342 11441179 15859060 22202684 22882358 27753355 45764716 55506710 57205895 80088253 111013420 114411790 160176506 228823580 320353012 400441265 560617771 800882530 1121235542 1601765060 2242471084 2803088855 5606177710 11212355420