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211131252040 = 235192391162361
BaseRepresentation
bin1100010010100001100…
…1110011110101001000
3202011222002200212200111
43010220121303311020
511424344100031130
6240554203244104
721153013013602
oct3045031636510
9664862625614
10211131252040
11815a40a6655
1234b03519634
1316ba94b0147
14a30c59a172
15575a7dd02a
hex3128673d48

211131252040 has 64 divisors (see below), whose sum is σ = 502140384000. Its totient is φ = 79672803840.

The previous prime is 211131251993. The next prime is 211131252047. The reversal of 211131252040 is 40252131112.

It is not an unprimeable number, because it can be changed into a prime (211131252047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399541 + ... + 762820.

It is an arithmetic number, because the mean of its divisors is an integer number (7845943500).

Almost surely, 2211131252040 is an apocalyptic number.

211131252040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131252040 is an abundant number, since it is smaller than the sum of its proper divisors (291009131960).

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

211131252040 is a wasteful number, since it uses less digits than its factorization.

211131252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162630 (or 1162626 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 211131252040 its reverse (40252131112), we get a palindrome (251383383152).

The spelling of 211131252040 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 239 380 478 760 956 1195 1912 2390 4541 4780 9082 9560 18164 22705 36328 45410 90820 181640 1162361 2324722 4649444 5811805 9298888 11623610 22084859 23247220 44169718 46494440 88339436 110424295 176678872 220848590 277804279 441697180 555608558 883394360 1111217116 1389021395 2222434232 2778042790 5278281301 5556085580 10556562602 11112171160 21113125204 26391406505 42226250408 52782813010 105565626020 211131252040