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212122110010020 = 223571729708978993
BaseRepresentation
bin110000001110110010000111…
…000001000010001010100100
31000211001200020120020101110120
4300032302013001002022210
5210300402040130310040
62031051315124521540
762452213426310250
oct6016620701021244
91024050216211416
10212122110010020
11616525330a8001
121b95a8295502b0
13914904c049c62
143a54a9cc7d260
15197cbb23087d0
hexc0ec870422a4

212122110010020 has 96 divisors (see below), whose sum is σ = 718719619822848. Its totient is φ = 45632991731712.

The previous prime is 212122110009983. The next prime is 212122110010079. The reversal of 212122110010020 is 20010011221212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14854482357 + ... + 14854496636.

It is an arithmetic number, because the mean of its divisors is an integer number (7486662706488).

Almost surely, 2212122110010020 is an apocalyptic number.

212122110010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122110010020 is an abundant number, since it is smaller than the sum of its proper divisors (506597509812828).

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

212122110010020 is a wasteful number, since it uses less digits than its factorization.

212122110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29708979029 (or 29708979027 counting only the distinct ones).

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

Adding to 212122110010020 its reverse (20010011221212), we get a palindrome (232132121231232).

The spelling of 212122110010020 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 29708978993 59417957986 89126936979 118835915972 148544894965 178253873958 207962852951 297089789930 356507747916 415925705902 445634684895 505052642881 594179579860 623888558853 831851411804 891269369790 1010105285762 1039814264755 1247777117706 1515157928643 1782538739580 2020210571524 2079628529510 2495554235412 2525263214405 3030315857286 3119442794265 3535368500167 4159257059020 5050526428810 6060631714572 6238885588530 7070737000334 7575789643215 10101052857620 10606105500501 12477771177060 14141474000668 15151579286430 17676842500835 21212211001002 30303158572860 35353685001670 42424422002004 53030527502505 70707370003340 106061055005010 212122110010020