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202013230330131 = 311233121051263519
BaseRepresentation
bin101101111011101011011110…
…110101010111000100010011
3222111021021110100200022112120
4231323223132311113010103
5202434241043431031011
61553351332530225323
760356655111626613
oct5573533665270423
9874237410608476
10202013230330131
115940536a057a70
121a7a7626125243
1388949c583b55c
1437c56c7678a43
151854c63819a06
hexb7baded57113

202013230330131 has 96 divisors (see below), whose sum is σ = 317125415485440. Its totient is φ = 113223143880000.

The previous prime is 202013230330103. The next prime is 202013230330133. The reversal of 202013230330131 is 131033032310202.

It is not a de Polignac number, because 202013230330131 - 215 = 202013230297363 is a prime.

It is a super-2 number, since 2×2020132303301312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202013230330133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766466590 + ... + 766730108.

It is an arithmetic number, because the mean of its divisors is an integer number (3303389744640).

Almost surely, 2202013230330131 is an apocalyptic number.

202013230330131 is a deficient number, since it is larger than the sum of its proper divisors (115112185155309).

202013230330131 is a wasteful number, since it uses less digits than its factorization.

202013230330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264669 (or 264638 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 202013230330131 its reverse (131033032310202), we get a palindrome (333046262640333).

The spelling of 202013230330131 in words is "two hundred two trillion, thirteen billion, two hundred thirty million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 23 31 33 69 93 253 341 713 759 961 1023 1051 2139 2883 3153 7843 10571 11561 22103 23529 24173 31713 32581 34683 66309 72519 97743 243133 263519 265903 358391 729399 749363 790557 797709 1010011 1075173 2248089 2898709 3030033 6060937 8169089 8242993 8696127 11110121 18182811 23230253 24507267 24728979 33330363 66670307 69690759 89859979 187889047 200010921 253241759 255532783 269579937 276958469 563667141 759725277 766598349 830875407 2066779517 2785659349 3046543159 5824560457 6200338551 6370044787 8356978047 8585712539 9139629477 17473681371 19110134361 25757137617 64070165027 70070492657 94442837929 192210495081 197471388397 210211477971 266157088709 283328513787 592414165191 798471266127 2172185272367 2927727975799 6121613040307 6516555817101 8783183927397 18364839120921 67337743443377 202013230330131