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202000130033010 = 23553239547971783
BaseRepresentation
bin101101111011011111010001…
…111111101100010101110010
3222111020000122101011021021220
4231323133101333230111302
5202434032231242024020
61553341324553325510
760356012350141551
oct5573372177542562
9874200571137256
10202000130033010
11593aa8572a8931
121a7a4b8aa06896
1388936b8750a5a
1437c4c03881d98
1518547486a5240
hexb7b7d1fec572

202000130033010 has 128 divisors (see below), whose sum is σ = 496921515171840. Its totient is φ = 52532948971776.

The previous prime is 202000130032999. The next prime is 202000130033017. The reversal of 202000130033010 is 10330031000202.

202000130033010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202000130033017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207379579 + ... + 208351361.

It is an arithmetic number, because the mean of its divisors is an integer number (3882199337280).

Almost surely, 2202000130033010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000130033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248460757585920).

202000130033010 is an abundant number, since it is smaller than the sum of its proper divisors (294921385138830).

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

202000130033010 is a wasteful number, since it uses less digits than its factorization.

202000130033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972632.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 202000130033010 its reverse (10330031000202), we get a palindrome (212330161033212).

The spelling of 202000130033010 in words is "two hundred two trillion, one hundred thirty million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 239 265 318 478 530 547 717 795 1094 1195 1434 1590 1641 2390 2735 3282 3585 5470 7170 8205 12667 16410 25334 28991 38001 57982 63335 76002 86973 126670 130733 144955 173946 190005 261466 289910 380010 392199 434865 653665 784398 869730 971783 1307330 1943566 1960995 2915349 3921990 4858915 5830698 6928849 9717830 13857698 14576745 20786547 29153490 34644245 41573094 51504499 69288490 103008998 103932735 154513497 207865470 232256137 257522495 309026994 464512274 515044990 531565301 696768411 772567485 1063130602 1161280685 1393536822 1545134970 1594695903 2322561370 2657826505 3189391806 3483842055 5315653010 6967684110 7973479515 12309575261 15946959030 24619150522 28172960953 36928725783 56345921906 61547876305 73857451566 84518882859 123095752610 127044106939 140864804765 169037765718 184643628915 254088213878 281729609530 369287257830 381132320817 422594414295 635220534695 762264641634 845188828590 1270441069390 1905661604085 3811323208170 6733337667767 13466675335534 20200013003301 33666688338835 40400026006602 67333376677670 101000065016505 202000130033010