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211223312993 = 72112937735003
BaseRepresentation
bin1100010010110111100…
…0111111101001100001
3202012012111221001120102
43010231320333221201
511430041132003433
6241011252352145
721155211352100
oct3045570775141
9665174831512
10211223312993
1181641065390
1234b2a315655
1316bc25a4194
14a31a8c2037
1557639254e8
hex312de3fa61

211223312993 has 96 divisors (see below), whose sum is σ = 288742008960. Its totient is φ = 152470563840.

The previous prime is 211223312957. The next prime is 211223313071. The reversal of 211223312993 is 399213322112.

It is a happy number.

It is not a de Polignac number, because 211223312993 - 220 = 211222264417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211223312953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42216830 + ... + 42221832.

It is an arithmetic number, because the mean of its divisors is an integer number (3007729260).

Almost surely, 2211223312993 is an apocalyptic number.

It is an amenable number.

211223312993 is a deficient number, since it is larger than the sum of its proper divisors (77518695967).

211223312993 is a wasteful number, since it uses less digits than its factorization.

211223312993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5160 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The spelling of 211223312993 in words is "two hundred eleven billion, two hundred twenty-three million, three hundred twelve thousand, nine hundred ninety-three".

Divisors: 1 7 11 29 37 49 73 77 203 259 319 407 511 539 803 1073 1421 1813 2117 2233 2701 2849 3577 5003 5621 7511 11803 14819 15631 18907 19943 23287 29711 35021 39347 52577 55033 78329 82621 103733 132349 145087 163009 185111 207977 245147 365219 385231 548303 578347 861619 1015609 1141063 1295777 1455839 1595957 2036221 2556533 2696617 3838121 4017409 5368219 6031333 7109263 9070439 10591351 11171699 13513103 14253547 17895731 28121863 37577533 42219331 59050409 74139457 78201893 94591721 99774829 116504861 148644133 196853041 263042731 391879987 413352863 518976199 662142047 815534027 1040508931 2743159909 2893470041 4310679857 5708738189 7283562517 19202119363 30174758999 211223312993