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2232120301 = 101113257761
BaseRepresentation
bin1000010100001011…
…0111001111101101
312202120010110102021
42011002313033231
514032410322201
61005254030141
7106212465235
oct20502671755
95676113367
102232120301
11a45a79024
12523648351
13297599758
1417263ccc5
15d0e63ea1
hex850b73ed

2232120301 has 16 divisors (see below), whose sum is σ = 2286018288. Its totient is φ = 2179072000.

The previous prime is 2232120263. The next prime is 2232120329. The reversal of 2232120301 is 1030212322.

It can be written as a sum of positive squares in 8 ways, for example, as 10883401 + 2221236900 = 3299^2 + 47130^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232120301 - 27 = 2232120173 is a prime.

It is a super-3 number, since 3×22321203013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232127301) 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 15 ways as a sum of consecutive naturals, for example, 2932761 + ... + 2933521.

It is an arithmetic number, because the mean of its divisors is an integer number (142876143).

Almost surely, 22232120301 is an apocalyptic number.

It is an amenable number.

2232120301 is a deficient number, since it is larger than the sum of its proper divisors (53897987).

2232120301 is a wasteful number, since it uses less digits than its factorization.

2232120301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2232120301 is about 47245.3204137722. The cubic root of 2232120301 is about 1306.8904942981.

Adding to 2232120301 its reverse (1030212322), we get a palindrome (3262332623).

The spelling of 2232120301 in words is "two billion, two hundred thirty-two million, one hundred twenty thousand, three hundred one".

Divisors: 1 101 113 257 761 11413 25957 29041 76861 85993 195577 2933141 8685293 19753277 22100201 2232120301