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211201423056 = 24341312535697
BaseRepresentation
bin1100010010110010010…
…1011111011011010000
3202012010222201221020000
43010230211133123100
511430020031014211
6241005151250000
721154524322041
oct3045445373320
9665128657200
10211201423056
118162a774128
1234b22b19900
1316bbabab760
14a317a248c8
155761a4e656
hex312c95f6d0

211201423056 has 100 divisors (see below), whose sum is σ = 658299644772. Its totient is φ = 64985048064.

The previous prime is 211201423031. The next prime is 211201423079. The reversal of 211201423056 is 650324102112.

211201423056 is a `hidden beast` number, since 211 + 2 + 0 + 142 + 305 + 6 = 666.

211201423056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57054099600 + 154147323456 = 238860^2 + 392616^2 .

It is a super-2 number, since 2×2112014230562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6251001 + ... + 6284696.

Almost surely, 2211201423056 is an apocalyptic number.

211201423056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

211201423056 is an abundant number, since it is smaller than the sum of its proper divisors (447098221716).

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

211201423056 is a wasteful number, since it uses less digits than its factorization.

211201423056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535730 (or 12535715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 211201423056 its reverse (650324102112), we get a palindrome (861525525168).

The spelling of 211201423056 in words is "two hundred eleven billion, two hundred one million, four hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 12535697 25071394 37607091 50142788 75214182 100285576 112821273 150428364 162964061 200571152 225642546 300856728 325928122 338463819 451285092 488892183 601713456 651856244 676927638 902570184 977784366 1015391457 1303712488 1353855276 1466676549 1805140368 1955568732 2030782914 2607424976 2707710552 2933353098 3911137464 4061565828 4400029647 5415421104 5866706196 7822274928 8123131656 8800059294 11733412392 13200088941 16246263312 17600118588 23466824784 26400177882 35200237176 52800355764 70400474352 105600711528 211201423056