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12133221030 = 2325723382657
BaseRepresentation
bin10110100110011001…
…00100001010100110
31011022120210111020200
423103030210022212
5144322101033110
65323545011330
7606446451150
oct132314441246
934276714220
1012133221030
1151669835a7
122427483b46
1311b493a438
148315b9ad0
154b02d86c0
hex2d33242a6

12133221030 has 96 divisors (see below), whose sum is σ = 36208171584. Its totient is φ = 2761371648.

The previous prime is 12133221029. The next prime is 12133221053. The reversal of 12133221030 is 3012233121.

12133221030 is a `hidden beast` number, since 121 + 332 + 210 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12133220994 and 12133221012.

It is a congruent number.

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, 105462 + ... + 188118.

It is an arithmetic number, because the mean of its divisors is an integer number (377168454).

Almost surely, 212133221030 is an apocalyptic number.

12133221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104085792).

12133221030 is an abundant number, since it is smaller than the sum of its proper divisors (24074950554).

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

12133221030 is a wasteful number, since it uses less digits than its factorization.

12133221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82910 (or 82907 counting only the distinct ones).

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

Adding to 12133221030 its reverse (3012233121), we get a palindrome (15145454151).

The spelling of 12133221030 in words is "twelve billion, one hundred thirty-three million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 233 315 466 630 699 1165 1398 1631 2097 2330 3262 3495 4194 4893 6990 8155 9786 10485 14679 16310 20970 24465 29358 48930 73395 82657 146790 165314 247971 413285 495942 578599 743913 826570 1157198 1239855 1487826 1735797 2479710 2892995 3471594 3719565 5207391 5785990 7439130 8678985 10414782 17357970 19259081 26036955 38518162 52073910 57777243 96295405 115554486 134813567 173331729 192590810 269627134 288886215 346663458 404440701 577772430 674067835 808881402 866658645 1213322103 1348135670 1733317290 2022203505 2426644206 4044407010 6066610515 12133221030