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2158310701 = 171932812341
BaseRepresentation
bin1000000010100101…
…0011010100101101
312120102020112200101
42000221103110231
513410011420301
6554100031101
7104325224011
oct20051232455
95512215611
102158310701
11a08345858
12502992491
132851c5c31
14166908541
15c9734701
hex80a5352d

2158310701 has 16 divisors (see below), whose sum is σ = 2306270448. Its totient is φ = 2012774400.

The previous prime is 2158310699. The next prime is 2158310711. The reversal of 2158310701 is 1070138512.

2158310701 = 328502 + 328512.

It can be written as a sum of positive squares in 8 ways, for example, as 68906601 + 2089404100 = 8301^2 + 45710^2 .

It is a 8-Lehmer number, since φ(2158310701) divides (2158310701-1)8.

It is a cyclic number.

It is not a de Polignac number, because 2158310701 - 21 = 2158310699 is a prime.

It is a super-2 number, since 2×21583107012 = 9316610164102222802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2158310701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158310711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920791 + ... + 923131.

It is an arithmetic number, because the mean of its divisors is an integer number (144141903).

Almost surely, 22158310701 is an apocalyptic number.

2158310701 is the 32851-st centered square number.

It is an amenable number.

2158310701 is a deficient number, since it is larger than the sum of its proper divisors (147959747).

2158310701 is a wasteful number, since it uses less digits than its factorization.

2158310701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 2158310701 is about 46457.6226361186. The cubic root of 2158310701 is about 1292.3237368365.

The spelling of 2158310701 in words is "two billion, one hundred fifty-eight million, three hundred ten thousand, seven hundred one".

Divisors: 1 17 193 281 2341 3281 4777 39797 54233 451813 657821 921961 7680821 11182957 126959453 2158310701