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2120131131210 = 23551451601297
BaseRepresentation
bin11110110110100001101…
…010011011011101001010
321111200102120202121200000
4132312201222123131022
5234214012032144320
64301550320023430
7306113553162141
oct36664152333512
97450376677600
102120131131210
1174816282a804
122a2a8b761b76
13124c09972071
14748873ac758
153a239736c90
hex1eda1a9b74a

2120131131210 has 96 divisors (see below), whose sum is σ = 5720450928192. Its totient is φ = 564977721600.

The previous prime is 2120131131199. The next prime is 2120131131259. The reversal of 2120131131210 is 121311310212.

2120131131210 is a `hidden beast` number, since 21 + 20 + 1 + 311 + 312 + 1 + 0 = 666.

It is a super-3 number, since 3×21201311312103 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3225282 + ... + 3826578.

It is an arithmetic number, because the mean of its divisors is an integer number (59588030502).

Almost surely, 22120131131210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120131131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860225464096).

2120131131210 is an abundant number, since it is smaller than the sum of its proper divisors (3600319796982).

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

2120131131210 is a wasteful number, since it uses less digits than its factorization.

2120131131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602770 (or 602758 counting only the distinct ones).

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

Adding to 2120131131210 its reverse (121311310212), we get a palindrome (2241442441422).

The spelling of 2120131131210 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1451 2430 2902 4353 7255 8706 13059 14510 21765 26118 39177 43530 65295 78354 117531 130590 195885 235062 352593 391770 587655 601297 705186 1175310 1202594 1762965 1803891 3006485 3525930 3607782 5411673 6012970 9019455 10823346 16235019 18038910 27058365 32470038 48705057 54116730 81175095 97410114 146115171 162350190 243525285 292230342 487050570 730575855 872481947 1461151710 1744963894 2617445841 4362409735 5234891682 7852337523 8724819470 13087229205 15704675046 23557012569 26174458410 39261687615 47114025138 70671037707 78523375230 117785062845 141342075414 212013113121 235570125690 353355188535 424026226242 706710377070 1060065565605 2120131131210