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20202122000 = 245319315231
BaseRepresentation
bin10010110100001000…
…111110101100010000
31221010220212010111202
4102310020332230100
5312333220401000
613140345330332
71313425126604
oct226410765420
957126763452
1020202122000
1186276312a5
123ab97969a8
131b9c525a58
14d9909b504
157d3893dd5
hex4b423eb10

20202122000 has 80 divisors (see below), whose sum is σ = 48883371264. Its totient is φ = 8075120000.

The previous prime is 20202121997. The next prime is 20202122027. The reversal of 20202122000 is 22120202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3859385 + ... + 3864615.

Almost surely, 220202122000 is an apocalyptic number.

20202122000 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 20202122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441685632).

20202122000 is an abundant number, since it is smaller than the sum of its proper divisors (28681249264).

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

20202122000 is a wasteful number, since it uses less digits than its factorization.

20202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20202122000 its reverse (22120202), we get a palindrome (20224242202).

The spelling of 20202122000 in words is "twenty billion, two hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1931 2000 3862 5231 7724 9655 10462 15448 19310 20924 26155 30896 38620 41848 48275 52310 77240 83696 96550 104620 130775 154480 193100 209240 241375 261550 386200 418480 482750 523100 653875 772400 965500 1046200 1307750 1931000 2092400 2615500 3862000 5231000 10101061 10462000 20202122 40404244 50505305 80808488 101010610 161616976 202021220 252526525 404042440 505053050 808084880 1010106100 1262632625 2020212200 2525265250 4040424400 5050530500 10101061000 20202122000