Search a number
-
+
13223100132 = 223211473591979
BaseRepresentation
bin11000101000010100…
…00111111011100100
31021010112121002022100
430110022013323210
5204040103201012
610024040532100
7645452332224
oct142412077344
937115532270
1013223100132
115676105930
122690481030
131329686508
148d6242084
15525d208dc
hex314287ee4

13223100132 has 144 divisors (see below), whose sum is σ = 37362124800. Its totient is φ = 3908844480.

The previous prime is 13223100109. The next prime is 13223100161. The reversal of 13223100132 is 23100132231.

13223100132 is a `hidden beast` number, since 1 + 322 + 310 + 0 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6680719 + ... + 6682697.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 213223100132 is an apocalyptic number.

13223100132 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 13223100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

13223100132 is an abundant number, since it is smaller than the sum of its proper divisors (24139024668).

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

13223100132 is a wasteful number, since it uses less digits than its factorization.

13223100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13223100132 its reverse (23100132231), we get a palindrome (36323232363).

The spelling of 13223100132 in words is "thirteen billion, two hundred twenty-three million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 359 396 423 517 564 718 846 1034 1077 1436 1551 1692 1979 2068 2154 3102 3231 3949 3958 4308 4653 5937 6204 6462 7898 7916 9306 11847 11874 12924 15796 16873 17811 18612 21769 23694 23748 33746 35541 35622 43538 47388 50619 65307 67492 71082 71244 87076 93013 101238 130614 142164 151857 185603 186026 195921 202476 261228 279039 303714 371206 372052 391842 556809 558078 607428 710461 742412 783684 837117 1023143 1113618 1116156 1420922 1670427 1674234 2046286 2131383 2227236 2841844 3069429 3340854 3348468 4092572 4262766 6138858 6394149 6681708 7815071 8525532 9208287 12277716 12788298 15630142 18416574 23445213 25576596 31260284 33391667 36833148 46890426 66783334 70335639 93780852 100175001 133566668 140671278 200350002 281342556 300525003 367308337 400700004 601050006 734616674 1101925011 1202100012 1469233348 2203850022 3305775033 4407700044 6611550066 13223100132