Search a number
-
+
11231300420 = 22537191229347
BaseRepresentation
bin10100111010111000…
…00000101101000100
31001222201200011202122
422131130000231010
5141000203103140
65054245425112
7545215323044
oct123534005504
931881604678
1011231300420
11484385a26a
12221540b198
13109cb207c2
147878bd724
1545b02cab5
hex29d700b44

11231300420 has 96 divisors (see below), whose sum is σ = 24526817280. Its totient is φ = 4316751360.

The previous prime is 11231300417. The next prime is 11231300429. The reversal of 11231300420 is 2400313211.

It is a super-2 number, since 2×112313004202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11231300429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32366687 + ... + 32367033.

It is an arithmetic number, because the mean of its divisors is an integer number (255487680).

Almost surely, 211231300420 is an apocalyptic number.

11231300420 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 11231300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263408640).

11231300420 is an abundant number, since it is smaller than the sum of its proper divisors (13295516860).

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

11231300420 is a wasteful number, since it uses less digits than its factorization.

11231300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11231300420 its reverse (2400313211), we get a palindrome (13631613631).

The spelling of 11231300420 in words is "eleven billion, two hundred thirty-one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 191 229 347 370 382 458 694 740 764 916 955 1145 1388 1735 1910 2290 3470 3820 4580 6940 7067 8473 12839 14134 16946 25678 28268 33892 35335 42365 43739 51356 64195 66277 70670 79463 84730 87478 128390 132554 141340 158926 169460 174956 218695 256780 265108 317852 331385 397315 437390 662770 794630 874780 1325540 1589260 1618343 2452249 2940131 3236686 4904498 5880262 6473372 8091715 9808996 11760524 12261245 14700655 15177433 16183430 24522490 29401310 30354866 32366860 49044980 58802620 60709732 75887165 151774330 303548660 561565021 1123130042 2246260084 2807825105 5615650210 11231300420