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202130400204 = 223219577673761
BaseRepresentation
bin1011110000111111101…
…0010010001111001100
3201022201211000020011200
42330033322102033030
511302430340301304
6232505111545500
720413660024215
oct2741772221714
9638654006150
10202130400204
11787a5383427
123321108b290
13160a37c2205
149ad700240c
1553d04e3e39
hex2f0fe923cc

202130400204 has 144 divisors (see below), whose sum is σ = 540274032480. Its totient is φ = 63541739520.

The previous prime is 202130400203. The next prime is 202130400209. The reversal of 202130400204 is 402004031202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202130400203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265611184 + ... + 265611944.

Almost surely, 2202130400204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202130400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270137016240).

202130400204 is an abundant number, since it is smaller than the sum of its proper divisors (338143632276).

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

202130400204 is a wasteful number, since it uses less digits than its factorization.

202130400204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202130400204 its reverse (402004031202), we get a palindrome (604134431406).

The spelling of 202130400204 in words is "two hundred two billion, one hundred thirty million, four hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 577 673 684 761 1154 1346 1522 1731 2019 2283 2308 2692 3044 3462 4038 4566 5193 6057 6849 6924 8076 9132 10386 10963 12114 12787 13698 14459 20772 21926 24228 25574 27396 28918 32889 38361 43377 43852 51148 57836 65778 76722 86754 98667 115083 130131 131556 153444 173508 197334 230166 260262 388321 394668 439097 460332 512153 520524 776642 878194 1024306 1164963 1317291 1536459 1553284 1756388 2048612 2329926 2634582 3072918 3494889 3951873 4609377 4659852 5269164 6145836 6989778 7378099 7903746 8342843 9218754 9730907 13979556 14756198 15807492 16685686 18437508 19461814 22134297 25028529 29192721 29512396 33371372 38923628 44268594 50057058 58385442 66402891 75085587 87578163 88537188 100114116 116770884 132805782 150171174 175156326 265611564 295512281 300342348 350312652 591024562 886536843 1182049124 1773073686 2659610529 3546147372 5319221058 5614733339 10638442116 11229466678 16844200017 22458933356 33688400034 50532600051 67376800068 101065200102 202130400204