Search a number
-
+
121001001210333 = 32173721374492353
BaseRepresentation
bin11011100000110010111101…
…101100011101000111011101
3120212102120201211011012210200
4123200302331230131013131
5111324440022302212313
61105203031554454113
734326014416114566
oct3340627554350735
9525376654135720
10121001001210333
113561126676a262
12116a297a594339
135269464c6755a
1421c46a045b16d
15dec7a8c3bb73
hex6e0cbdb1d1dd

121001001210333 has 24 divisors (see below), whose sum is σ = 190061986011768. Its totient is φ = 73870245568512.

The previous prime is 121001001210289. The next prime is 121001001210337. The reversal of 121001001210333 is 333012100100121.

121001001210333 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 100 + 1 + 210 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75296194766244 + 45704806444089 = 8677338^2 + 6760533^2 .

It is not a de Polignac number, because 121001001210333 - 218 = 121001000948189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001001210337) 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, 10687240516 + ... + 10687251837.

It is an arithmetic number, because the mean of its divisors is an integer number (7919249417157).

Almost surely, 2121001001210333 is an apocalyptic number.

It is an amenable number.

121001001210333 is a deficient number, since it is larger than the sum of its proper divisors (69060984801435).

121001001210333 is a wasteful number, since it uses less digits than its factorization.

121001001210333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374492413 (or 21374492410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121001001210333 its reverse (333012100100121), we get a palindrome (454013101310454).

The spelling of 121001001210333 in words is "one hundred twenty-one trillion, one billion, one million, two hundred ten thousand, three hundred thirty-three".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 21374492353 64123477059 192370431177 363366370001 790856217061 1090099110003 2372568651183 3270297330009 7117705953549 13444555690037 40333667070111 121001001210333