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2112122211231 = 38312723671433
BaseRepresentation
bin11110101111000100010…
…010110100101110011111
321110220202102120022212010
4132233010102310232133
5234101111241224411
64254143501042303
7305411233401204
oct36570422645637
97426672508763
102112122211231
11744822a1a67a
122a1415556393
13124231627b66
1474327861cab
1539e1b5787a6
hex1ebc44b4b9f

2112122211231 has 48 divisors (see below), whose sum is σ = 2882548698624. Its totient is φ = 1375441796736.

The previous prime is 2112122211209. The next prime is 2112122211259. The reversal of 2112122211231 is 1321122212112.

It is not a de Polignac number, because 2112122211231 - 26 = 2112122211167 is a prime.

It is a super-2 number, since 2×21121222112312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122211198 and 2112122211207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122211931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473915691 + ... + 1473917123.

It is an arithmetic number, because the mean of its divisors is an integer number (60053097888).

Almost surely, 22112122211231 is an apocalyptic number.

2112122211231 is a deficient number, since it is larger than the sum of its proper divisors (770426487393).

2112122211231 is a wasteful number, since it uses less digits than its factorization.

2112122211231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2013 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 2112122211231 its reverse (1321122212112), we get a palindrome (3433244423343).

The spelling of 2112122211231 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 83 127 249 367 381 1101 1433 4299 10541 16129 30461 31623 46609 48387 91383 118939 139827 181991 356817 525911 545973 1338707 1577733 3868547 4016121 5919343 11605641 15105253 17758029 23112857 43650613 45315759 66790697 69338571 130951839 200372091 491305469 1473916407 1918367131 5543627851 5755101393 8482418519 16630883553 25447255557 704040737077 2112122211231