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210100122200112 = 243231217156374759
BaseRepresentation
bin101111110001010110111111…
…001001101010100000110000
31000112220101010202110001200120
4233301112333021222200300
5210014240022240400422
62022502355204450240
762153142613434144
oct5761267711524060
91015811122401616
10210100122200112
1160a42a637571a1
121b6929899a9980
1390304833412a1
1439c4c86103224
1519452bdd0945c
hexbf15bf26a830

210100122200112 has 80 divisors (see below), whose sum is σ = 566822226055680. Its totient is φ = 66933400416256.

The previous prime is 210100122200083. The next prime is 210100122200131. The reversal of 210100122200112 is 211002221001012.

It is a super-2 number, since 2×2101001222001122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210100122200091 and 210100122200100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76843812 + ... + 79530947.

It is an arithmetic number, because the mean of its divisors is an integer number (7085277825696).

Almost surely, 2210100122200112 is an apocalyptic number.

It is an amenable number.

210100122200112 is an abundant number, since it is smaller than the sum of its proper divisors (356722103855568).

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

210100122200112 is a wasteful number, since it uses less digits than its factorization.

210100122200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156376010 (or 156376004 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210100122200112 its reverse (211002221001012), we get a palindrome (421102343201124).

The spelling of 210100122200112 in words is "two hundred ten trillion, one hundred billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1217 2434 3651 4868 7302 9736 14604 19472 27991 29208 55982 58416 83973 111964 167946 223928 335892 447856 671784 1343568 156374759 312749518 469124277 625499036 938248554 1250998072 1876497108 2501996144 3596619457 3752994216 7193238914 7505988432 10789858371 14386477828 21579716742 28772955656 43159433484 57545911312 86318866968 172637733936 190308081703 380616163406 570924245109 761232326812 1141848490218 1522464653624 2283696980436 3044929307248 4377085879169 4567393960872 8754171758338 9134787921744 13131257637507 17508343516676 26262515275014 35016687033352 52525030550028 70033374066704 105050061100056 210100122200112