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211222001300 = 225219744324203
BaseRepresentation
bin1100010010110111001…
…1111111011010010100
3202012012102110102021012
43010231303333122110
511430040313020200
6241011204311352
721155164246652
oct3045563773224
9665172412235
10211222001300
1181640349942
1234b299a2558
1316bc223512b
14a31a65ddd2
155763766a35
hex312dcff694

211222001300 has 72 divisors (see below), whose sum is σ = 461737384416. Its totient is φ = 83866706560.

The previous prime is 211222001297. The next prime is 211222001327. The reversal of 211222001300 is 3100222112.

It is a happy number.

211222001300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112220013002 (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 8714999 + ... + 8739201.

It is an arithmetic number, because the mean of its divisors is an integer number (6413019228).

Almost surely, 2211222001300 is an apocalyptic number.

211222001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230868692208).

211222001300 is an abundant number, since it is smaller than the sum of its proper divisors (250515383116).

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

211222001300 is a wasteful number, since it uses less digits than its factorization.

211222001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24857 (or 24850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 211222001300 its reverse (3100222112), we get a palindrome (214322223412).

The spelling of 211222001300 in words is "two hundred eleven billion, two hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 443 788 886 985 1772 1970 2215 3940 4430 4925 8860 9850 11075 19700 22150 24203 44300 48406 87271 96812 121015 174542 242030 349084 436355 484060 605075 872710 1210150 1745420 2181775 2420300 4363550 4767991 8727100 9535982 10721929 19071964 21443858 23839955 42887716 47679910 53609645 95359820 107219290 119199775 214438580 238399550 268048225 476799100 536096450 1072192900 2112220013 4224440026 8448880052 10561100065 21122200130 42244400260 52805500325 105611000650 211222001300