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211140063134 = 271113244318313
BaseRepresentation
bin1100010010100011101…
…1011010111110011110
3202011222201021112020022
43010220323122332132
511424403324010014
6240555120152142
721153150632120
oct3045073327636
9664881245208
10211140063134
11815a9074550
1234b06468652
1316bab276800
14a30d811210
15575b47da8e
hex3128edaf9e

211140063134 has 96 divisors (see below), whose sum is σ = 428558148864. Its totient is φ = 75758941440.

The previous prime is 211140063109. The next prime is 211140063137. The reversal of 211140063134 is 431360041112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211140063137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11520362 + ... + 11538674.

It is an arithmetic number, because the mean of its divisors is an integer number (4464147384).

Almost surely, 2211140063134 is an apocalyptic number.

211140063134 is an abundant number, since it is smaller than the sum of its proper divisors (217418085730).

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

211140063134 is a wasteful number, since it uses less digits than its factorization.

211140063134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18802 (or 18789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 211140063134 in words is "two hundred eleven billion, one hundred forty million, sixty-three thousand, one hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 443 886 1001 1183 1859 2002 2366 3101 3718 4873 5759 6202 9746 11518 13013 18313 26026 34111 36626 40313 63349 68222 74867 80626 126698 128191 149734 201443 238069 256382 402886 443443 476138 524069 823537 886886 1048138 1410101 1647074 1666483 2618759 2820202 3094897 3332966 5237518 5764759 6189794 8112659 11529518 16225318 18331313 21664279 34043867 36662626 43328558 56788613 68087734 89239249 105464567 113577226 178478498 210929134 238307069 476614138 624674743 738251969 1160110237 1249349486 1371039371 1476503938 2320220474 2742078742 8120771659 9597275597 15081433081 16241543318 19194551194 30162866162 105570031567 211140063134