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10221112200200 = 23521111927389533
BaseRepresentation
bin1001010010111100100111…
…0000110000110000001000
31100012010110212211211102112
42110233021300300300020
52314430314210401300
633423303014521452
72103310455133346
oct224571160606010
940163425754375
1010221112200200
113290827411760
121190b05966288
13591b013b5145
142749c10cc996
1512ad1bac8e35
hex94bc9c30c08

10221112200200 has 96 divisors (see below), whose sum is σ = 25926697460160. Its totient is φ = 3716446905600.

The previous prime is 10221112200181. The next prime is 10221112200259. The reversal of 10221112200200 is 200221112201.

It is a super-2 number, since 2×102211122002002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 26044634 + ... + 26434166.

It is an arithmetic number, because the mean of its divisors is an integer number (270069765210).

Almost surely, 210221112200200 is an apocalyptic number.

10221112200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221112200200 is an abundant number, since it is smaller than the sum of its proper divisors (15705585259960).

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

10221112200200 is a wasteful number, since it uses less digits than its factorization.

10221112200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401487 (or 401478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221112200200 its reverse (200221112201), we get a palindrome (10421333312401).

The spelling of 10221112200200 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 11927 23854 47708 59635 95416 119270 131197 238540 262394 298175 389533 477080 524788 596350 655985 779066 1049576 1192700 1311970 1558132 1947665 2385400 2623940 3116264 3279925 3895330 4284863 5247880 6559850 7790660 8569726 9738325 13119700 15581320 17139452 19476650 21424315 26239400 34278904 38953300 42848630 77906600 85697260 107121575 171394520 214243150 428486300 856972600 4645960091 9291920182 18583840364 23229800455 37167680728 46459600910 51105561001 92919201820 102211122002 116149002275 185838403640 204422244004 232298004550 255527805005 408844488008 464596009100 511055610010 929192018200 1022111220020 1277639025025 2044222440040 2555278050050 5110556100100 10221112200200