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212220020001000 = 23353116430909697
BaseRepresentation
bin110000010000001101010010…
…111010000000100011101000
31000211102000222002011021022210
4300100031102322000203220
5210304003100110013000
62031204310431445120
762462250634433064
oct6020152272004350
91024360862137283
10212220020001000
11616900067a9420
121b9757b33867a0
13915535385926b
143a5970a4d4aa4
1519804e2d01350
hexc10352e808e8

212220020001000 has 128 divisors (see below), whose sum is σ = 722319777279360. Its totient is φ = 51447277568000.

The previous prime is 212220020000993. The next prime is 212220020001029. The reversal of 212220020001000 is 100020022212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3215421849 + ... + 3215487848.

It is an arithmetic number, because the mean of its divisors is an integer number (5643123259995).

Almost surely, 2212220020001000 is an apocalyptic number.

212220020001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212220020001000 is an abundant number, since it is smaller than the sum of its proper divisors (510099757278360).

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

212220020001000 is a wasteful number, since it uses less digits than its factorization.

212220020001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430909732 (or 6430909718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212220020001000 its reverse (100020022212), we get a palindrome (212320040023212).

The spelling of 212220020001000 in words is "two hundred twelve trillion, two hundred twenty billion, twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6430909697 12861819394 19292729091 25723638788 32154548485 38585458182 51447277576 64309096970 70740006667 77170916364 96463645455 128618193940 141480013334 154341832728 160772742425 192927290910 212220020001 257236387880 282960026668 321545484850 353700033335 385854581820 424440040002 482318227275 565920053336 643090969700 707400066670 771709163640 803863712125 848880080004 964636454550 1061100100005 1286181939400 1414800133340 1607727424250 1697760160008 1768500166675 1929272909100 2122200200010 2411591136375 2829600266680 3215454848500 3537000333350 3858545818200 4244400400020 4823182272750 5305500500025 6430909697000 7074000666700 8488800800040 8842500833375 9646364545500 10611001000050 14148001333400 17685001666750 19292729091000 21222002000100 26527502500125 35370003333500 42444004000200 53055005000250 70740006667000 106110010000500 212220020001000