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212302131120100 = 22527937323680639
BaseRepresentation
bin110000010001011001110001…
…000111000100011111100100
31000211200212220112201022022001
4300101121301013010133210
5210311324231031320400
62031310130322015044
762501215502431630
oct6021316107043744
91024625815638261
10212302131120100
116171191234852a
121b9896aa1a7484
13916000b172c78
143a5d6997b1dc0
1519826eb7d1a6a
hexc116711c47e4

212302131120100 has 72 divisors (see below), whose sum is σ = 527071196395520. Its totient is φ = 72711618520320.

The previous prime is 212302131120031. The next prime is 212302131120139. The reversal of 212302131120100 is 1021131203212.

It is a super-2 number, since 2×2123021311201002 (a number of 29 digits) contains 22 as substring.

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, 161184420 + ... + 162496219.

Almost surely, 2212302131120100 is an apocalyptic number.

212302131120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302131120100 is an abundant number, since it is smaller than the sum of its proper divisors (314769065275420).

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

212302131120100 is a wasteful number, since it uses less digits than its factorization.

212302131120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323681597 (or 323681590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212302131120100 its reverse (1021131203212), we get a palindrome (213323262323312).

The spelling of 212302131120100 in words is "two hundred twelve trillion, three hundred two billion, one hundred thirty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 937 1874 3748 4685 6559 9370 13118 18740 23425 26236 32795 46850 65590 93700 131180 163975 327950 655900 323680639 647361278 1294722556 1618403195 2265764473 3236806390 4531528946 6473612780 8092015975 9063057892 11328822365 16184031950 22657644730 32368063900 45315289460 56644111825 113288223650 226576447300 303288758743 606577517486 1213155034972 1516443793715 2123021311201 3032887587430 4246042622402 6065775174860 7582218968575 8492085244804 10615106556005 15164437937150 21230213112010 30328875874300 42460426224020 53075532780025 106151065560050 212302131120100