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212120203131 = 323741101199773
BaseRepresentation
bin1100010110001101011…
…0010110111101111011
3202021112000120210112200
43011203112112331323
511433410233000011
6241240252041243
721216351656124
oct3054326267573
9667460523480
10212120203131
1181a61363201
123513a763223
131700634c1c5
14a3a3a6d04b
1557b753a856
hex3163596f7b

212120203131 has 96 divisors (see below), whose sum is σ = 327602620800. Its totient is φ = 132067584000.

The previous prime is 212120203093. The next prime is 212120203157. The reversal of 212120203131 is 131302021212.

212120203131 is a `hidden beast` number, since 212 + 120 + 20 + 313 + 1 = 666.

It is not a de Polignac number, because 212120203131 - 26 = 212120203067 is a prime.

It is a super-2 number, since 2×2121202031312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212120203171) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 274411261 + ... + 274412033.

It is an arithmetic number, because the mean of its divisors is an integer number (3412527300).

Almost surely, 2212120203131 is an apocalyptic number.

212120203131 is a deficient number, since it is larger than the sum of its proper divisors (115482417669).

212120203131 is a wasteful number, since it uses less digits than its factorization.

212120203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212120203131 its reverse (131302021212), we get a palindrome (343422224343).

The spelling of 212120203131 in words is "two hundred twelve billion, one hundred twenty million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 37 41 101 111 123 199 303 333 369 597 773 909 1517 1791 2319 3737 4141 4551 6957 7363 8159 11211 12423 13653 20099 22089 24477 28601 31693 33633 37269 60297 66267 73431 78073 85803 95079 153217 153827 180891 234219 257409 285237 301883 459651 461481 702657 743663 824059 905649 1172641 1378953 1384443 2230989 2472177 2716947 2888701 3200993 3517923 5691599 6306907 6692967 7416531 8666103 9602979 10553769 15536527 17074797 18920721 25998309 28808937 30490183 46609581 51224391 56762163 91470549 118436741 139828743 233355559 274411647 355310223 574851499 636997607 700066677 1065930669 1724554497 1910992821 2100200031 5173663491 5732978463 23568911459 70706734377 212120203131