Search a number
-
+
212202013100 = 225271127558703
BaseRepresentation
bin1100010110100000111…
…0011100000110101100
3202021201201112011201112
43011220032130012230
511434042203404400
6241252333331152
721221364231140
oct3055016340654
9667651464645
10212202013100
1181aa3560250
1235162036ab8
131701a29437c
14a3b0887220
1557be7ea835
hex316839c1ac

212202013100 has 72 divisors (see below), whose sum is σ = 574102921728. Its totient is φ = 66140884800.

The previous prime is 212202013081. The next prime is 212202013141. The reversal of 212202013100 is 1310202212.

It is a happy number.

It is a super-2 number, since 2×2122020131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13771652 + ... + 13787051.

Almost surely, 2212202013100 is an apocalyptic number.

212202013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202013100 is an abundant number, since it is smaller than the sum of its proper divisors (361900908628).

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

212202013100 is a wasteful number, since it uses less digits than its factorization.

212202013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558735 (or 27558728 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212202013100 its reverse (1310202212), we get a palindrome (213512215312).

The spelling of 212202013100 in words is "two hundred twelve billion, two hundred two million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 27558703 55117406 110234812 137793515 192910921 275587030 303145733 385821842 551174060 606291466 688967575 771643684 964554605 1212582932 1377935150 1515728665 1929109210 2122020131 2755870300 3031457330 3858218420 4244040262 4822773025 6062914660 7578643325 8488080524 9645546050 10610100655 15157286650 19291092100 21220201310 30314573300 42440402620 53050503275 106101006550 212202013100