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20201020100020 = 22523731374391087
BaseRepresentation
bin1001001011111011010101…
…01000001000110110110100
32122112012100211020122022101
410211331222220020312310
510121433142121200040
6110544115344311444
74153322052463264
oct445755250106664
978465324218271
1020201020100020
116489228230501
122323114912584
13b36c42a59b96
144dba3d9dd7a4
1525071cb5c09a
hex125f6aa08db4

20201020100020 has 96 divisors (see below), whose sum is σ = 45200524981248. Its totient is φ = 7567562483712.

The previous prime is 20201020099991. The next prime is 20201020100021. The reversal of 20201020100020 is 2000102010202.

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 (20201020100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2404917 + ... + 6796003.

It is an arithmetic number, because the mean of its divisors is an integer number (470838801888).

Almost surely, 220201020100020 is an apocalyptic number.

20201020100020 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 20201020100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600262490624).

20201020100020 is an abundant number, since it is smaller than the sum of its proper divisors (24999504881228).

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

20201020100020 is a wasteful number, since it uses less digits than its factorization.

20201020100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391329 (or 4391327 counting only the distinct ones).

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

Adding to 20201020100020 its reverse (2000102010202), we get a palindrome (22201122110222).

The spelling of 20201020100020 in words is "twenty trillion, two hundred one billion, twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 137 146 230 274 292 365 460 548 685 730 1370 1460 1679 2740 3151 3358 6302 6716 8395 10001 12604 15755 16790 20002 31510 33580 40004 50005 63020 100010 200020 230023 460046 920092 1150115 2300230 4391087 4600460 8782174 17564348 21955435 43910870 87821740 100995001 201990002 320549351 403980004 504975005 601578919 641098702 1009950010 1203157838 1282197404 1602746755 2019900020 2406315676 3007894595 3205493510 6015789190 6410987020 7372635073 12031578380 13836315137 14745270146 27672630274 29490540292 36863175365 43915261087 55345260548 69181575685 73726350730 87830522174 138363151370 147452701460 175661044348 219576305435 276726302740 439152610870 878305221740 1010051005001 2020102010002 4040204020004 5050255025005 10100510050010 20201020100020