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211113555354 = 2321318113193779
BaseRepresentation
bin1100010010011101011…
…0010011010110011010
3202011220212101210101200
43010213112103112122
511424330032232404
6240552332055030
721152406420012
oct3044726232632
9664825353350
10211113555354
1181595109899
1234ab9604476
1316ba5925230
14a30a0b0c42
155758e94839
hex312759359a

211113555354 has 96 divisors (see below), whose sum is σ = 495826531200. Its totient is φ = 64533075840.

The previous prime is 211113555277. The next prime is 211113555371. The reversal of 211113555354 is 453555311112.

211113555354 is a `hidden beast` number, since 2 + 1 + 1 + 113 + 5 + 5 + 535 + 4 = 666.

211113555354 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 55863037 + ... + 55866815.

It is an arithmetic number, because the mean of its divisors is an integer number (5164859700).

Almost surely, 2211113555354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211113555354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247913265600).

211113555354 is an abundant number, since it is smaller than the sum of its proper divisors (284712975846).

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

211113555354 is a wasteful number, since it uses less digits than its factorization.

211113555354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5297 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

Adding to 211113555354 its reverse (453555311112), we get a palindrome (664668866466).

The spelling of 211113555354 in words is "two hundred eleven billion, one hundred thirteen million, five hundred fifty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1319 1629 2353 2638 3258 3779 3957 4706 7059 7558 7914 11337 11871 14118 17147 21177 22674 23742 34011 34294 42354 49127 51441 68022 98254 102882 147381 154323 238739 294762 308646 442143 477478 683999 716217 884286 1367998 1432434 2051997 2148651 3103607 4103994 4297302 4984501 6155991 6207214 8891987 9310821 9969002 12311982 14953503 17783974 18621642 26675961 27932463 29907006 44860509 53351922 55864926 64798513 80027883 89721018 129597026 160055766 194395539 388791078 583186617 902194681 1166373234 1804389362 2706584043 5413168086 8119752129 11728530853 16239504258 23457061706 35185592559 70371185118 105556777677 211113555354