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20021122000 = 245311910051
BaseRepresentation
bin10010101001010110…
…100001001111010000
31220200022021101012001
4102221112201033100
5312000401401000
613110402043344
71306066505035
oct225126411720
956608241161
1020021122000
118544446320
123a69049554
131b70b91969
14d7d02338c
157c2a3e46a
hex4a95a13d0

20021122000 has 80 divisors (see below), whose sum is σ = 52812137664. Its totient is φ = 7280400000.

The previous prime is 20021121979. The next prime is 20021122001. The reversal of 20021122000 is 22112002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×200211220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021122001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433026 + ... + 477025.

Almost surely, 220021122000 is an apocalyptic number.

20021122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021122000 is an abundant number, since it is smaller than the sum of its proper divisors (32791015664).

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

20021122000 is a wasteful number, since it uses less digits than its factorization.

20021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910085 (or 910069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021122000 its reverse (22112002), we get a palindrome (20043234002).

The spelling of 20021122000 in words is "twenty billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 910051 1820102 3640204 4550255 7280408 9100510 10010561 14560816 18201020 20021122 22751275 36402040 40042244 45502550 50052805 72804080 80084488 91005100 100105610 113756375 160168976 182010200 200211220 227512750 250264025 364020400 400422440 455025500 500528050 800844880 910051000 1001056100 1251320125 1820102000 2002112200 2502640250 4004224400 5005280500 10010561000 20021122000