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10212221200220 = 2251331132056751
BaseRepresentation
bin1001010010011011011111…
…0100010010011101011100
31100011021112020212020022222
42110212313310102131130
52314304112111401340
633415232445524512
72102544234650534
oct224466764223534
940137466766288
1010212221200220
113287a846a9896
12118b244273738
135910153aa000
142743ba36c4c4
1512a99b27d8b5
hex949b7d1275c

10212221200220 has 96 divisors (see below), whose sum is σ = 23437594010880. Its totient is φ = 3737295744000.

The previous prime is 10212221200151. The next prime is 10212221200243. The reversal of 10212221200220 is 2200212221201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3936845 + ... + 5993595.

It is an arithmetic number, because the mean of its divisors is an integer number (244141604280).

Almost surely, 210212221200220 is an apocalyptic number.

10212221200220 is a gapful number since it is divisible by the number (10) 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 10212221200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718797005440).

10212221200220 is an abundant number, since it is smaller than the sum of its proper divisors (13225372810660).

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

10212221200220 is a wasteful number, since it uses less digits than its factorization.

10212221200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056912 (or 2056884 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10212221200220 its reverse (2200212221201), we get a palindrome (12412433421421).

The spelling of 10212221200220 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 169 226 260 338 452 565 676 845 1130 1469 1690 2197 2260 2938 3380 4394 5876 7345 8788 10985 14690 19097 21970 29380 38194 43940 76388 95485 190970 248261 381940 496522 993044 1241305 2056751 2482610 4113502 4965220 8227004 10283755 20567510 26737763 41135020 53475526 106951052 133688815 232412863 267377630 347590919 464825726 534755260 695181838 929651452 1162064315 1390363676 1737954595 2324128630 3021367219 3475909190 4518681947 4648257260 6042734438 6951818380 9037363894 12085468876 15106836095 18074727788 22593409735 30213672190 39277773847 45186819470 60427344380 78555547694 90373638940 157111095388 196388869235 392777738470 510611060011 785555476940 1021222120022 2042444240044 2553055300055 5106110600110 10212221200220