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212123114541 = 321341435711801
BaseRepresentation
bin1100010110001110000…
…1011101110000101101
3202021112020001201020200
43011203201131300231
511433412004131131
6241240434304113
721216415503162
oct3054341356055
9667466051220
10212123114541
1181a62a71628
123513b728039
1317006b2b430
14a3a41ca069
1557b79132e6
hex316385dc2d

212123114541 has 96 divisors (see below), whose sum is σ = 346676313984. Its totient is φ = 124104960000.

The previous prime is 212123114537. The next prime is 212123114591. The reversal of 212123114541 is 145411321212.

212123114541 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 3 + 114 + 541 = 666.

212123114541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212123114541 - 22 = 212123114537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123114591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117779841 + ... + 117781641.

It is an arithmetic number, because the mean of its divisors is an integer number (3611211604).

Almost surely, 2212123114541 is an apocalyptic number.

It is an amenable number.

212123114541 is a deficient number, since it is larger than the sum of its proper divisors (134553199443).

212123114541 is a wasteful number, since it uses less digits than its factorization.

212123114541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2472 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 212123114541 its reverse (145411321212), we get a palindrome (357534435753).

The spelling of 212123114541 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred fourteen thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 41 43 117 123 129 369 387 533 559 571 1599 1677 1713 1763 1801 4797 5031 5139 5289 5403 7423 15867 16209 22269 22919 23411 23413 24553 66807 68757 70233 70239 73659 73841 77443 206271 210699 210717 220977 221523 232329 304343 319189 664569 696987 913029 957567 959933 1006673 1006759 1028371 2739087 2872701 2879799 3020019 3020277 3085113 3175163 8639397 9060057 9060831 9255339 9525489 13086749 13368823 28576467 39260247 40106469 41277119 42163211 44219953 117780741 120319407 123831357 126489633 132659859 371494071 379468899 397979577 548121743 574859389 1644365229 1724578167 1813018073 4933095687 5173734501 5439054219 16317162657 23569234949 70707704847 212123114541