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2201131131210 = 234511298518639
BaseRepresentation
bin100000000001111101101…
…000111010000101001010
321210102111121112221210000
4200001331220322011022
5242030404032144320
64403104035103430
7315012036624504
oct40017550720512
97712447487700
102201131131210
1177954915a670
122b6716441b76
1312c74801404b
147876cc94d74
153c3ca8d6c90
hex2007da3a14a

2201131131210 has 160 divisors (see below), whose sum is σ = 6679295251200. Its totient is φ = 515207226240.

The previous prime is 2201131131077. The next prime is 2201131131211. The reversal of 2201131131210 is 121311311022.

2201131131210 is a `hidden beast` number, since 2 + 20 + 11 + 311 + 312 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2201131131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4000930 + ... + 4517709.

It is an arithmetic number, because the mean of its divisors is an integer number (41745595320).

Almost surely, 22201131131210 is an apocalyptic number.

2201131131210 is an abundant number, since it is smaller than the sum of its proper divisors (4478164119990).

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

2201131131210 is a wasteful number, since it uses less digits than its factorization.

2201131131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518698 (or 8518689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2201131131210 its reverse (121311311022), we get a palindrome (2322442442232).

The spelling of 2201131131210 in words is "two trillion, two hundred one billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 81 87 90 99 110 135 145 162 165 174 198 261 270 290 297 319 330 405 435 495 522 594 638 783 810 870 891 957 990 1305 1485 1566 1595 1782 1914 2349 2610 2871 2970 3190 3915 4455 4698 4785 5742 7830 8613 8910 9570 11745 14355 17226 23490 25839 28710 43065 51678 86130 129195 258390 8518639 17037278 25555917 42593195 51111834 76667751 85186390 93705029 127779585 153335502 187410058 230003253 247040531 255559170 281115087 383338755 460006506 468525145 494081062 562230174 690009759 741121593 766677510 843345261 937050290 1150016265 1235202655 1380019518 1405575435 1482243186 1686690522 2223364779 2300032530 2470405310 2530035783 2717445841 2811150870 3450048795 3705607965 4216726305 4446729558 5060071566 5434891682 6670094337 6900097590 7411215930 7590107349 8152337523 8433452610 11116823895 12650178915 13340188674 13587229205 15180214698 16304675046 20010283011 22233647790 24457012569 25300357830 27174458410 33350471685 37950536745 40020566022 40761687615 48914025138 66700943370 73371037707 75901073490 81523375230 100051415055 122285062845 146742075414 200102830110 220113113121 244570125690 366855188535 440226226242 733710377070 1100565565605 2201131131210