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202013300020 = 22577977323629
BaseRepresentation
bin1011110000100011101…
…1100101010100110100
3201022102122122220220211
42330020323211110310
511302210401100040
6232445330035204
720411035501240
oct2741073452464
9638378586824
10202013300020
1178745272314
1233199a18b04
131608547216c
149ac563d420
1553c50b28ea
hex2f08ee5534

202013300020 has 96 divisors (see below), whose sum is σ = 491624985600. Its totient is φ = 68293615104.

The previous prime is 202013300017. The next prime is 202013300029. The reversal of 202013300020 is 20003310202.

It is a happy number.

202013300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202013300029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8537566 + ... + 8561194.

It is an arithmetic number, because the mean of its divisors is an integer number (5121093600).

Almost surely, 2202013300020 is an apocalyptic number.

202013300020 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 202013300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245812492800).

202013300020 is an abundant number, since it is smaller than the sum of its proper divisors (289611685580).

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

202013300020 is a wasteful number, since it uses less digits than its factorization.

202013300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24497 (or 24495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 202013300020 its reverse (20003310202), we get a palindrome (222016610222).

The spelling of 202013300020 in words is "two hundred two billion, thirteen million, three hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 773 790 1106 1546 1580 2212 2765 3092 3865 5411 5530 7730 10822 11060 15460 21644 23629 27055 47258 54110 61067 94516 108220 118145 122134 165403 236290 244268 305335 330806 427469 472580 610670 661612 827015 854938 1221340 1654030 1709876 1866691 2137345 3308060 3733382 4274690 7466764 8549380 9333455 13066837 18265217 18666910 26133674 36530434 37333820 52267348 65334185 73060868 91326085 127856519 130668370 182652170 255713038 261336740 365304340 511426076 639282595 1278565190 1442952143 2557130380 2885904286 5771808572 7214760715 10100665001 14429521430 20201330002 28859042860 40402660004 50503325005 101006650010 202013300020