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211010211010212 = 223231303829170769
BaseRepresentation
bin101111111110100110100100…
…101010111101011010100100
31000200010101020102002210121020
4233332212210222331122210
5210124142403004311322
62024440430330251140
762305661510615205
oct5776464452753244
91020111212083536
10211010211010212
1161263a230aa379
121b7bb238886ab0
139098240010cc3
143a16d3d3695ac
15195dcd6dd805c
hexbfe9a4abd6a4

211010211010212 has 96 divisors (see below), whose sum is σ = 514227565393920. Its totient is φ = 67217926110720.

The previous prime is 211010211010153. The next prime is 211010211010271. The reversal of 211010211010212 is 212010112010112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211010211010153) and next prime (211010211010271).

It is a junction number, because it is equal to n+sod(n) for n = 211010211010191 and 211010211010200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2981640364 + ... + 2981711132.

It is an arithmetic number, because the mean of its divisors is an integer number (5356537139520).

Almost surely, 2211010211010212 is an apocalyptic number.

It is an amenable number.

211010211010212 is an abundant number, since it is smaller than the sum of its proper divisors (303217354383708).

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

211010211010212 is a wasteful number, since it uses less digits than its factorization.

211010211010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80393 (or 80391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211010211010212 its reverse (212010112010112), we get a palindrome (423020323020324).

The spelling of 211010211010212 in words is "two hundred eleven trillion, ten billion, two hundred eleven million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 1303 2606 3909 5212 7818 8291 15636 16582 24873 29969 33164 49746 59938 70769 89907 99492 119876 141538 179814 190693 212307 283076 359628 381386 424614 572079 762772 849228 1144158 1627687 2288316 3255374 4883061 6510748 9766122 10803173 19532244 21606346 32409519 43212692 64819038 92212007 129638076 184424014 248472979 276636021 368848028 496945958 553272042 586745779 745418937 993891916 1106544084 1173491558 1490837874 1760237337 2120876161 2346983116 2981675748 3520474674 4241752322 6362628483 7040949348 8483504644 12725256966 13495152917 25450513932 26990305834 40485458751 53980611668 80970917502 161941835004 764529750037 1529059500074 2293589250111 3058119000148 4587178500222 9174357000444 17584184250851 35168368501702 52752552752553 70336737003404 105505105505106 211010211010212