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11413223412 = 22329101443733
BaseRepresentation
bin10101010000100011…
…11111011111110100
31002110101222211012020
422220101333133310
5141333241122122
65124304553140
7552554540553
oct125021773764
932411884166
1011413223412
114927515748
1222663227b0
1310cb718a46
147a3b17d9a
1546beb5c5c
hex2a847f7f4

11413223412 has 96 divisors (see below), whose sum is σ = 27922769280. Its totient is φ = 3623692800.

The previous prime is 11413223387. The next prime is 11413223413. The reversal of 11413223412 is 21432231411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413223413) 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, 15570198 + ... + 15570930.

It is an arithmetic number, because the mean of its divisors is an integer number (290862180).

Almost surely, 211413223412 is an apocalyptic number.

11413223412 is a gapful number since it is divisible by the number (12) 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 11413223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961384640).

11413223412 is an abundant number, since it is smaller than the sum of its proper divisors (16509545868).

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

11413223412 is a wasteful number, since it uses less digits than its factorization.

11413223412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1311 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11413223412 its reverse (21432231411), we get a palindrome (32845454823).

The spelling of 11413223412 in words is "eleven billion, four hundred thirteen million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 443 606 733 886 1212 1329 1466 1772 2199 2658 2929 2932 4398 5316 5858 8787 8796 11716 12847 17574 21257 25694 35148 38541 42514 44743 51388 63771 74033 77082 85028 89486 127542 134229 148066 154164 178972 222099 255084 268458 296132 324719 444198 536916 649438 888396 974157 1297547 1298876 1948314 2146957 2595094 3892641 3896628 4293914 5190188 6440871 7785282 8587828 9416851 12881742 15570564 18833702 25763484 28250553 32796619 37667404 56501106 65593238 98389857 113002212 131186476 196779714 393559428 951101951 1902203902 2853305853 3804407804 5706611706 11413223412