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20021023000 = 2353112165463
BaseRepresentation
bin10010101001010110…
…001001000100011000
31220200022002100101101
4102221112021010120
5312000340214000
613110400001144
71306065613306
oct225126110430
956608070341
1020021023000
118544388a00
123a690001b4
131b70b58894
14d7cdd9276
157c2a1ee6a
hex4a9589118

20021023000 has 96 divisors (see below), whose sum is σ = 51495706080. Its totient is φ = 7280328000.

The previous prime is 20021022991. The next prime is 20021023021. The reversal of 20021023000 is 32012002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38269 + ... + 203731.

It is an arithmetic number, because the mean of its divisors is an integer number (536413605).

Almost surely, 220021023000 is an apocalyptic number.

20021023000 is a gapful number since it is divisible by the number (20) 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 20021023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25747853040).

20021023000 is an abundant number, since it is smaller than the sum of its proper divisors (31474683080).

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

20021023000 is a wasteful number, since it uses less digits than its factorization.

20021023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165506 (or 165481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20021023000 its reverse (32012002), we get a palindrome (20053035002).

The spelling of 20021023000 in words is "twenty billion, twenty-one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 165463 330926 661852 827315 1323704 1654630 1820093 3309260 3640186 4136575 6618520 7280372 8273150 9100465 14560744 16546300 18200930 20021023 20682875 33092600 36401860 40042046 41365750 45502325 72803720 80084092 82731500 91004650 100105115 160168184 165463000 182009300 200210230 227511625 364018600 400420460 455023250 500525575 800840920 910046500 1001051150 1820093000 2002102300 2502627875 4004204600 5005255750 10010511500 20021023000