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20201323100 = 22527210140819
BaseRepresentation
bin10010110100000101…
…111011101001011100
31221010212100112121212
4102310011323221130
5312333014314400
613140320243552
71313415261500
oct226405735134
957125315555
1020201323100
118627136052
123ab94705b8
131b9c30622a
14d98d30300
157d3787335
hex4b417ba5c

20201323100 has 108 divisors (see below), whose sum is σ = 51500063160. Its totient is φ = 6857424000.

The previous prime is 20201323097. The next prime is 20201323117. The reversal of 20201323100 is 132310202.

It is a happy number.

It is a super-2 number, since 2×202013231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474491 + ... + 515309.

Almost surely, 220201323100 is an apocalyptic number.

20201323100 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 20201323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750031580).

20201323100 is an abundant number, since it is smaller than the sum of its proper divisors (31298740060).

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

20201323100 is a wasteful number, since it uses less digits than its factorization.

20201323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40948 (or 40934 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20201323100 its reverse (132310202), we get a palindrome (20333633302).

The spelling of 20201323100 in words is "twenty billion, two hundred one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 350 404 490 505 700 707 980 1010 1225 1414 2020 2450 2525 2828 3535 4900 4949 5050 7070 9898 10100 14140 17675 19796 24745 35350 40819 49490 70700 81638 98980 123725 163276 204095 247450 285733 408190 494900 571466 816380 1020475 1142932 1428665 2000131 2040950 2857330 4000262 4081900 4122719 5714660 7143325 8000524 8245438 10000655 14286650 16490876 20001310 20613595 28573300 28859033 40002620 41227190 50003275 57718066 82454380 100006550 103067975 115436132 144295165 200013100 202013231 206135950 288590330 404026462 412271900 577180660 721475825 808052924 1010066155 1442951650 2020132310 2885903300 4040264620 5050330775 10100661550 20201323100