Search a number
-
+
211031203100 = 225223132169457
BaseRepresentation
bin1100010010001001110…
…0001001110100011100
3202011201010102212100012
43010202130021310130
511424142441444400
6240540231022352
721150356425664
oct3044234116434
9664633385305
10211031203100
1181552681383
1234a95b0a9b8
1316b918502a3
14a2dd1951a4
155751b28d35
hex3122709d1c

211031203100 has 72 divisors (see below), whose sum is σ = 478216663008. Its totient is φ = 80680089600.

The previous prime is 211031203063. The next prime is 211031203121. The reversal of 211031203100 is 1302130112.

It is a super-2 number, since 2×2110312031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3003572 + ... + 3073028.

Almost surely, 2211031203100 is an apocalyptic number.

211031203100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239108331504).

211031203100 is an abundant number, since it is smaller than the sum of its proper divisors (267185459908).

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

211031203100 is a wasteful number, since it uses less digits than its factorization.

211031203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70815 (or 70808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 211031203100 its reverse (1302130112), we get a palindrome (212333333212).

The spelling of 211031203100 in words is "two hundred eleven billion, thirty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1321 2300 2642 5284 6605 13210 26420 30383 33025 60766 66050 69457 121532 132100 138914 151915 277828 303830 347285 607660 694570 759575 1389140 1519150 1597511 1736425 3038300 3195022 3472850 6390044 6945700 7987555 15975110 31950220 39937775 79875550 91752697 159751100 183505394 367010788 458763485 917526970 1835053940 2110312031 2293817425 4220624062 4587634850 8441248124 9175269700 10551560155 21103120310 42206240620 52757800775 105515601550 211031203100