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2133351961 = 13233704309
BaseRepresentation
bin111111100101000…
…0101111000011001
312111200021111201121
41333022011320121
513332114230321
6551405045241
7103603123006
oct17712057031
95450244647
102133351961
119a52489a4
124b6556821
1327cc97750
1416348c8ad
15c7454441
hex7f285e19

2133351961 has 8 divisors (see below), whose sum is σ = 2307319560. Its totient is φ = 1960793472.

The previous prime is 2133351937. The next prime is 2133351971. The reversal of 2133351961 is 1691533312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2975625 + 2130376336 = 1725^2 + 46156^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2133351961 - 25 = 2133351929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133351971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349126 + ... + 355183.

It is an arithmetic number, because the mean of its divisors is an integer number (288414945).

Almost surely, 22133351961 is an apocalyptic number.

It is an amenable number.

2133351961 is a deficient number, since it is larger than the sum of its proper divisors (173967599).

2133351961 is a wasteful number, since it uses less digits than its factorization.

2133351961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704555.

The product of its digits is 14580, while the sum is 34.

The square root of 2133351961 is about 46188.2231851367. The cubic root of 2133351961 is about 1287.3229262996.

It can be divided in two parts, 2133351 and 961, that added together give a palindrome (2134312).

The spelling of 2133351961 in words is "two billion, one hundred thirty-three million, three hundred fifty-one thousand, nine hundred sixty-one".

Divisors: 1 13 233 3029 704309 9156017 164103997 2133351961