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11321412312 = 23372910921319
BaseRepresentation
bin10101000101100111…
…10000101011011000
31002020000020100001010
422202303300223120
5141141240143222
65111225053520
7550361262660
oct124263605330
932200210033
1011321412312
11488a707701
12223b6272a0
1310b56b1652
147958591a0
15463dcc80c
hex2a2cf0ad8

11321412312 has 128 divisors (see below), whose sum is σ = 33770880000. Its totient is φ = 3094350336.

The previous prime is 11321412241. The next prime is 11321412331. The reversal of 11321412312 is 21321412311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520389 + ... + 541707.

It is an arithmetic number, because the mean of its divisors is an integer number (263835000).

Almost surely, 211321412312 is an apocalyptic number.

11321412312 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 11321412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885440000).

11321412312 is an abundant number, since it is smaller than the sum of its proper divisors (22449467688).

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

11321412312 is a wasteful number, since it uses less digits than its factorization.

11321412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21473 (or 21469 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11321412312 its reverse (21321412311), we get a palindrome (32642824623).

Subtracting 11321412312 from its reverse (21321412311), we obtain a palindrome (9999999999).

The spelling of 11321412312 in words is "eleven billion, three hundred twenty-one million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 109 116 168 174 203 218 232 327 348 406 436 609 654 696 763 812 872 1218 1308 1526 1624 2289 2436 2616 3052 3161 4578 4872 6104 6322 9156 9483 12644 18312 18966 21319 22127 25288 37932 42638 44254 63957 66381 75864 85276 88508 127914 132762 149233 170552 177016 255828 265524 298466 447699 511656 531048 596932 618251 895398 1193864 1236502 1790796 1854753 2323771 2473004 3581592 3709506 4327757 4647542 4946008 6971313 7419012 8655514 9295084 12983271 13942626 14838024 16266397 17311028 18590168 25966542 27885252 32532794 34622056 48799191 51933084 55770504 65065588 67389359 97598382 103866168 130131176 134778718 195196764 202168077 269557436 390393528 404336154 471725513 539114872 808672308 943451026 1415176539 1617344616 1886902052 2830353078 3773804104 5660706156 11321412312