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212031110200 = 235271311650061
BaseRepresentation
bin1100010101111000001…
…0011111110000111000
3202021021210221102000111
43011132002133300320
511433214431011300
6241223350314104
721214220462020
oct3053602376070
9667253842014
10212031110200
1181a16041388
1235114958934
1316cc0a570b0
14a395cbaa80
1557ae7dc9ba
hex315e09fc38

212031110200 has 96 divisors (see below), whose sum is σ = 606735228960. Its totient is φ = 67104345600.

The previous prime is 212031110167. The next prime is 212031110231. The reversal of 212031110200 is 2011130212.

212031110200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5806831 + ... + 5843230.

It is an arithmetic number, because the mean of its divisors is an integer number (6320158635).

Almost surely, 2212031110200 is an apocalyptic number.

212031110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031110200 is an abundant number, since it is smaller than the sum of its proper divisors (394704118760).

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

212031110200 is a wasteful number, since it uses less digits than its factorization.

212031110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650097 (or 11650088 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212031110200 its reverse (2011130212), we get a palindrome (214042240412).

The spelling of 212031110200 in words is "two hundred twelve billion, thirty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 11650061 23300122 46600244 58250305 81550427 93200488 116500610 151450793 163100854 233001220 291251525 302901586 326201708 407752135 466002440 582503050 605803172 652403416 757253965 815504270 1060155551 1165006100 1211606344 1514507930 1631008540 2038760675 2120311102 2330012200 3029015860 3262017080 3786269825 4077521350 4240622204 5300777755 6058031720 7572539650 8155042700 8481244408 10601555510 15145079300 16310085400 21203111020 26503888775 30290158600 42406222040 53007777550 106015555100 212031110200