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1354114531 = 71128362141
BaseRepresentation
bin101000010110110…
…0010010111100011
310111101000010221001
41100231202113203
510233123131111
6342211212431
745361532530
oct12055422743
93441003831
101354114531
116353a9320
123195a7117
13187704103
14cbba9d87
157dd2e1c1
hex50b625e3

1354114531 has 16 divisors (see below), whose sum is σ = 1694239488. Its totient is φ = 1051408800.

The previous prime is 1354114519. The next prime is 1354114547.

1354114531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1354114531 - 25 = 1354114499 is a prime.

It is a super-2 number, since 2×13541145312 = 3667252326130699922, 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 1354114531.

It is not an unprimeable number, because it can be changed into a prime (1354114511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9280 + ... + 52861.

It is an arithmetic number, because the mean of its divisors is an integer number (105889968).

Almost surely, 21354114531 is an apocalyptic number.

1354114531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1354114531 is a deficient number, since it is larger than the sum of its proper divisors (340124957).

1354114531 is a wasteful number, since it uses less digits than its factorization.

1354114531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62442.

The product of its digits is 3600, while the sum is 28.

The square root of 1354114531 is about 36798.2952186647. The cubic root of 1354114531 is about 1106.3311302028.

The spelling of 1354114531 in words is "one billion, three hundred fifty-four million, one hundred fourteen thousand, five hundred thirty-one".

Divisors: 1 7 11 77 283 1981 3113 21791 62141 434987 683551 4784857 17585903 123101321 193444933 1354114531