Search a number
-
+
201001312031202 = 23241935803744377
BaseRepresentation
bin101101101100111101000011…
…110011011001000111100010
3222100200112112000212120111200
4231230331003303121013202
5202321201141334444302
61551254421125222030
760223602614203434
oct5554750363310742
9870615460776450
10201001312031202
11590551a5603751
121a663498861916
13882045b315937
14378c730400654
15183878aac081c
hexb6cf43cd91e2

201001312031202 has 48 divisors (see below), whose sum is σ = 436555008358560. Its totient is φ = 66838575076416.

The previous prime is 201001312031161. The next prime is 201001312031203. The reversal of 201001312031202 is 202130213100102.

201001312031202 is a `hidden beast` number, since 20 + 100 + 1 + 312 + 0 + 31 + 202 = 666.

201001312031202 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 (18).

It is not an unprimeable number, because it can be changed into a prime (201001312031203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269654038 + ... + 270398414.

It is an arithmetic number, because the mean of its divisors is an integer number (9094896007470).

Almost surely, 2201001312031202 is an apocalyptic number.

201001312031202 is an abundant number, since it is smaller than the sum of its proper divisors (235553696327358).

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

201001312031202 is a wasteful number, since it uses less digits than its factorization.

201001312031202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780607 (or 780604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201001312031202 its reverse (202130213100102), we get a palindrome (403131525131304).

The spelling of 201001312031202 in words is "two hundred one trillion, one billion, three hundred twelve million, thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 419 838 1257 2514 3771 7542 35803 71606 107409 214818 322227 644454 744377 1488754 2233131 4466262 6699393 13398786 15001457 30002914 45004371 90008742 135013113 270026226 311893963 623787926 935681889 1871363778 2807045667 5614091334 26650929731 53301859462 79952789193 159905578386 239858367579 479716735158 11166739557289 22333479114578 33500218671867 67000437343734 100500656015601 201001312031202