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20021210000 = 245411182011
BaseRepresentation
bin10010101001010110…
…110110101110010000
31220200022102211220022
4102221112312232100
5312000412210000
613110404003012
71306100322431
oct225126665620
956608384808
1020021210000
1185444a6450
123a69090468
131b70bc2a2c
14d7d047488
157c2a5a585
hex4a95b6b90

20021210000 has 100 divisors (see below), whose sum is σ = 52880310384. Its totient is φ = 7280400000.

The previous prime is 20021209969. The next prime is 20021210057. The reversal of 20021210000 is 1212002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20021210000.

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 19 ways as a sum of consecutive naturals, for example, 18995 + ... + 201005.

Almost surely, 220021210000 is an apocalyptic number.

20021210000 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 20021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440155192).

20021210000 is an abundant number, since it is smaller than the sum of its proper divisors (32859100384).

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

20021210000 is a wasteful number, since it uses less digits than its factorization.

20021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182050 (or 182029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20021210000 its reverse (1212002), we get a palindrome (20022422002).

The spelling of 20021210000 in words is "twenty billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 182011 364022 728044 910055 1456088 1820110 2002121 2912176 3640220 4004242 4550275 7280440 8008484 9100550 10010605 14560880 16016968 18201100 20021210 22751375 32033936 36402200 40042420 45502750 50053025 72804400 80084840 91005500 100106050 113756875 160169680 182011000 200212100 227513750 250265125 364022000 400424200 455027500 500530250 800848400 910055000 1001060500 1251325625 1820110000 2002121000 2502651250 4004242000 5005302500 10010605000 20021210000