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12131133020 = 22517372294211
BaseRepresentation
bin10110100110001001…
…00110011001011100
31011022102212102000222
423103010212121130
5144321032224040
65323432140512
7606422633516
oct132304463134
934272772028
1012131133020
115165787876
122426837738
1311b4388c26
148311d4bb6
154b0024bb5
hex2d312665c

12131133020 has 96 divisors (see below), whose sum is σ = 27830537280. Its totient is φ = 4423127040.

The previous prime is 12131133017. The next prime is 12131133023. The reversal of 12131133020 is 2033113121.

It is an interprime number because it is at equal distance from previous prime (12131133017) and next prime (12131133023).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12131133020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131133023) 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, 2878715 + ... + 2882925.

It is an arithmetic number, because the mean of its divisors is an integer number (289901430).

Almost surely, 212131133020 is an apocalyptic number.

12131133020 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 12131133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915268640).

12131133020 is an abundant number, since it is smaller than the sum of its proper divisors (15699404260).

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

12131133020 is a wasteful number, since it uses less digits than its factorization.

12131133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12131133020 its reverse (2033113121), we get a palindrome (14164246141).

The spelling of 12131133020 in words is "twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 229 340 370 458 629 740 916 1145 1258 2290 2516 3145 3893 4211 4580 6290 7786 8422 8473 12580 15572 16844 16946 19465 21055 33892 38930 42110 42365 71587 77860 84220 84730 143174 144041 155807 169460 286348 288082 311614 357935 576164 623228 715870 720205 779035 964319 1431740 1440410 1558070 1928638 2648719 2880820 3116140 3857276 4821595 5297438 9643190 10594876 13243595 16393423 19286380 26487190 32786846 35679803 52974380 65573692 71359606 81967115 142719212 163934230 178399015 327868460 356798030 606556651 713596060 1213113302 2426226604 3032783255 6065566510 12131133020