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212140334131 = 11412715932927
BaseRepresentation
bin1100010110010010001…
…1001001110000110011
3202021120102110120002021
43011210203021300303
511433430411143011
6241242251332311
721220015042105
oct3054443116063
9667512416067
10212140334131
1181a717629a0
1235145451097
131700a57a13b
14a3a65cd575
1557b91b5471
hex31648c9c33

212140334131 has 32 divisors (see below), whose sum is σ = 238427836416. Its totient is φ = 187076736000.

The previous prime is 212140334039. The next prime is 212140334183. The reversal of 212140334131 is 131433041212.

It is not a de Polignac number, because 212140334131 - 211 = 212140332083 is a prime.

It is a super-2 number, since 2×2121403341312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212140334096 and 212140334105.

It is not an unprimeable number, because it can be changed into a prime (212140334531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72475590 + ... + 72478516.

It is an arithmetic number, because the mean of its divisors is an integer number (7450869888).

Almost surely, 2212140334131 is an apocalyptic number.

212140334131 is a deficient number, since it is larger than the sum of its proper divisors (26287502285).

212140334131 is a wasteful number, since it uses less digits than its factorization.

212140334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 212140334131 its reverse (131433041212), we get a palindrome (343573375343).

The spelling of 212140334131 in words is "two hundred twelve billion, one hundred forty million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 11 41 271 451 593 2927 2981 6523 11111 24313 32197 120007 122221 160703 267443 793217 1320077 1735711 1767733 6588823 8725387 19092821 32521897 71164151 72477053 357740867 470377681 782805661 5174154491 19285484921 212140334131