Search a number
-
+
211212323212112 = 24101739990117863
BaseRepresentation
bin110000000001100010110011…
…011111110100101101010000
31000200211200220221212110101122
4300001202303133310231100
5210141000314220241422
62025113333552221412
762326405160156225
oct6001426337645520
91020750827773348
10211212323212112
1161331709183082
121b83244383a868
1390b130cb00b91
143a22a33b9194c
1519641b59d4d42
hexc018b37f4b50

211212323212112 has 80 divisors (see below), whose sum is σ = 413899800800640. Its totient is φ = 104402675520000.

The previous prime is 211212323212091. The next prime is 211212323212129.

211212323212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112123232121122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11824002893 + ... + 11824020755.

It is an arithmetic number, because the mean of its divisors is an integer number (5173747510008).

Almost surely, 2211212323212112 is an apocalyptic number.

It is an amenable number.

211212323212112 is a deficient number, since it is larger than the sum of its proper divisors (202687477588528).

211212323212112 is a wasteful number, since it uses less digits than its factorization.

211212323212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28612 (or 28606 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The spelling of 211212323212112 in words is "two hundred eleven trillion, two hundred twelve billion, three hundred twenty-three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 101 202 404 739 808 1478 1616 2956 5912 9901 11824 17863 19802 35726 39604 71452 74639 79208 142904 149278 158416 285808 298556 597112 1000001 1194224 1804163 2000002 3608326 4000004 7216652 7316839 8000008 13200757 14433304 14633678 16000016 26401514 28866608 29267356 52803028 58534712 105606056 117069424 176861563 211212112 353723126 707446252 739000739 1333276457 1414892504 1478001478 2666552914 2829785008 2956002956 5333105828 5912005912 10666211656 11824011824 17863017863 21332423312 35726035726 71452071452 130700695057 142904142904 261401390114 285808285808 522802780228 1045605560456 2091211120912 13200770200757 26401540401514 52803080803028 105606161606056 211212323212112