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11212414420 = 2252919331749
BaseRepresentation
bin10100111000100111…
…11101110111010100
31001221102010200001011
422130103331313110
5140430334230140
65052332542004
7544565643604
oct123423756724
931842120034
1011212414420
11483412a9a9
12220b021904
131098c3a45c
147851a4c04
1545954bcea
hex29c4fddd4

11212414420 has 24 divisors (see below), whose sum is σ = 24358005000. Its totient is φ = 4330311552.

The previous prime is 11212414393. The next prime is 11212414427. The reversal of 11212414420 is 2441421211.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 11201682244 = 3276^2 + 105838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11212414391 and 11212414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212414427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9665295 + ... + 9666454.

It is an arithmetic number, because the mean of its divisors is an integer number (1014916875).

Almost surely, 211212414420 is an apocalyptic number.

11212414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212414420 is an abundant number, since it is smaller than the sum of its proper divisors (13145590580).

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

11212414420 is a wasteful number, since it uses less digits than its factorization.

11212414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19331787 (or 19331785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11212414420 its reverse (2441421211), we get a palindrome (13653835631).

The spelling of 11212414420 in words is "eleven billion, two hundred twelve million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 19331749 38663498 77326996 96658745 193317490 386634980 560620721 1121241442 2242482884 2803103605 5606207210 11212414420