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202013323031100 = 22352796196820491
BaseRepresentation
bin101101111011101011100100…
…010110111111001000111100
3222111021021200211010000100210
4231323223210112333020330
5202434241241143443400
61553351350041152420
760356660315602050
oct5573534426771074
9874237624100323
10202013323031100
1159405407413639
121a7a765118b710
138894a0bac79b9
1437c56d5ac9c60
151854c6ba2b950
hexb7bae45bf23c

202013323031100 has 72 divisors (see below), whose sum is σ = 667990721496448. Its totient is φ = 46174473835200.

The previous prime is 202013323031057. The next prime is 202013323031101. The reversal of 202013323031100 is 1130323310202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202013323031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48098408146 + ... + 48098412345.

Almost surely, 2202013323031100 is an apocalyptic number.

202013323031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013323031100 is an abundant number, since it is smaller than the sum of its proper divisors (465977398465348).

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

202013323031100 is a wasteful number, since it uses less digits than its factorization.

202013323031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96196820515 (or 96196820508 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 202013323031100 its reverse (1130323310202), we get a palindrome (203143646341302).

The spelling of 202013323031100 in words is "two hundred two trillion, thirteen billion, three hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 96196820491 192393640982 288590461473 384787281964 480984102455 577180922946 673377743437 961968204910 1154361845892 1346755486874 1442952307365 1923936409820 2020133230311 2404920512275 2693510973748 2885904614730 3366888717185 4040266460622 4809841024550 5771809229460 6733777434370 7214761536825 8080532921244 9619682049100 10100666151555 13467554868740 14429523073650 16834443585925 20201332303110 28859046147300 33668887171850 40402664606220 50503330757775 67337774343700 101006661515550 202013323031100