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213202124102142 = 23375031121325613
BaseRepresentation
bin110000011110011111111100…
…110111110101100111111110
31000221212220221121021211201000
4300132133330313311213332
5210421100422232232032
62033235411555031130
762623226246522640
oct6036377467654776
91027786847254630
10213202124102142
1161a2957098465a
121bab3bbbb9b4a6
1391c6b49342926
143a91075c8c890
15199ad233c3e7c
hexc1e7fcdf59fe

213202124102142 has 64 divisors (see below), whose sum is σ = 542542185077760. Its totient is φ = 60793789380192.

The previous prime is 213202124102137. The next prime is 213202124102147. The reversal of 213202124102142 is 241201421202312.

213202124102142 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 2 + 12 + 410 + 214 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (213202124102137) and next prime (213202124102147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202124102147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560472673 + ... + 560852940.

It is an arithmetic number, because the mean of its divisors is an integer number (8477221641840).

Almost surely, 2213202124102142 is an apocalyptic number.

213202124102142 is an abundant number, since it is smaller than the sum of its proper divisors (329340060975618).

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

213202124102142 is a wasteful number, since it uses less digits than its factorization.

213202124102142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121326134 (or 1121326128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 213202124102142 its reverse (241201421202312), we get a palindrome (454403545304454).

The spelling of 213202124102142 in words is "two hundred thirteen trillion, two hundred two billion, one hundred twenty-four million, one hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 503 1006 1509 3018 3521 4527 7042 9054 10563 13581 21126 27162 31689 63378 95067 190134 1121325613 2242651226 3363976839 6727953678 7849279291 10091930517 15698558582 20183861034 23547837873 30275791551 47095675746 60551583102 70643513619 141287027238 211930540857 423861081714 564026783339 1128053566678 1692080350017 3384160700034 3948187483373 5076241050051 7896374966746 10152482100102 11844562450119 15228723150153 23689124900238 30457446300306 35533687350357 71067374700714 106601062051071 213202124102142