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20310330100 = 22521773163661
BaseRepresentation
bin10010111010100101…
…110000101011110100
31221102110110200010011
4102322211300223310
5313043421030400
613155212510004
71316210646244
oct227245605364
957373420104
1020310330100
118682719685
123b29a7b304
131bb8a81608
14da95c7b24
157dd11a8ba
hex4ba970af4

20310330100 has 72 divisors (see below), whose sum is σ = 47305519128. Its totient is φ = 7541452800.

The previous prime is 20310330059. The next prime is 20310330149. The reversal of 20310330100 is 103301302.

It can be written as a sum of positive squares in 12 ways, for example, as 4009169124 + 16301160976 = 63318^2 + 127676^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42270 + ... + 205930.

It is an arithmetic number, because the mean of its divisors is an integer number (657021099).

Almost surely, 220310330100 is an apocalyptic number.

20310330100 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 20310330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652759564).

20310330100 is an abundant number, since it is smaller than the sum of its proper divisors (26995189028).

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

20310330100 is a wasteful number, since it uses less digits than its factorization.

20310330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163765 (or 163758 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 20310330100 its reverse (103301302), we get a palindrome (20413631402).

The spelling of 20310330100 in words is "twenty billion, three hundred ten million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 730 850 1241 1460 1700 1825 2482 3650 4964 6205 7300 12410 24820 31025 62050 124100 163661 327322 654644 818305 1636610 2782237 3273220 4091525 5564474 8183050 11128948 11947253 13911185 16366100 23894506 27822370 47789012 55644740 59736265 69555925 119472530 139111850 203103301 238945060 278223700 298681325 406206602 597362650 812413204 1015516505 1194725300 2031033010 4062066020 5077582525 10155165050 20310330100