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212201310200 = 235211300132141
BaseRepresentation
bin1100010110100000101…
…1110000011111111000
3202021201200012110112012
43011220023300133320
511434042013411300
6241252310305052
721221355242645
oct3055013603770
9667650173465
10212201310200
1181aa3120140
1235161958188
131701a0a9459
14a3b0742dcc
1557be70c435
hex31682f07f8

212201310200 has 96 divisors (see below), whose sum is σ = 538415784720. Its totient is φ = 77136000000.

The previous prime is 212201310173. The next prime is 212201310281. The reversal of 212201310200 is 2013102212.

It is a happy number.

212201310200 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 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, 6586130 + ... + 6618270.

Almost surely, 2212201310200 is an apocalyptic number.

212201310200 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 212201310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269207892360).

212201310200 is an abundant number, since it is smaller than the sum of its proper divisors (326214474520).

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

212201310200 is a wasteful number, since it uses less digits than its factorization.

212201310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35169 (or 35160 counting only the distinct ones).

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

Adding to 212201310200 its reverse (2013102212), we get a palindrome (214214412412).

The spelling of 212201310200 in words is "two hundred twelve billion, two hundred one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3001 6002 12004 15005 24008 30010 32141 33011 60020 64282 66022 75025 120040 128564 132044 150050 160705 165055 257128 264088 300100 321410 330110 353551 600200 642820 660220 707102 803525 825275 1285640 1320440 1414204 1607050 1650550 1767755 2828408 3214100 3301100 3535510 6428200 6602200 7071020 8838775 14142040 17677550 35355100 70710200 96455141 192910282 385820564 482275705 771641128 964551410 1061006551 1929102820 2122013102 2411378525 3858205640 4244026204 4822757050 5305032755 8488052408 9645514100 10610065510 19291028200 21220131020 26525163775 42440262040 53050327550 106100655100 212201310200