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10022012220200 = 2352172947650653
BaseRepresentation
bin1001000111010110111001…
…1110100111001100101000
31022111002120021002220021012
42101311232132213030220
52303200040112021300
633152014315203052
72053031543210351
oct221655636471450
938432507086235
1010022012220200
113214347696942
12115a3bb746488
135790c16987a6
142690d4770d28
15125a67687435
hex91d6e7a7328

10022012220200 has 48 divisors (see below), whose sum is σ = 24671835973980. Its totient is φ = 3772992834560.

The previous prime is 10022012220193. The next prime is 10022012220221. The reversal of 10022012220200 is 202221022001.

It can be written as a sum of positive squares in 6 ways, for example, as 2844531857476 + 7177480362724 = 1686574^2 + 2679082^2 .

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 11 ways as a sum of consecutive naturals, for example, 1473821927 + ... + 1473828726.

Almost surely, 210022012220200 is an apocalyptic number.

10022012220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022012220200 is an abundant number, since it is smaller than the sum of its proper divisors (14649823753780).

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

10022012220200 is a wasteful number, since it uses less digits than its factorization.

10022012220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947650686 (or 2947650677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022012220200 its reverse (202221022001), we get a palindrome (10224233242201).

The spelling of 10022012220200 in words is "ten trillion, twenty-two billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 2947650653 5895301306 11790602612 14738253265 23581205224 29476506530 50110061101 58953013060 73691266325 100220122202 117906026120 147382532650 200440244404 250550305505 294765065300 400880488808 501100611010 589530130600 1002201222020 1252751527525 2004402444040 2505503055050 5011006110100 10022012220200