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114723147133 = 7210942015113
BaseRepresentation
bin110101011011000001…
…0000100110101111101
3101222010020211201012101
41222312002010311331
53334423111202013
6124411511105101
711200642442500
oct1526602046575
9358106751171
10114723147133
11447212534a1
121a298672191
13aa83ba371a
1457a45b9137
152eb6ab38dd
hex1ab6084d7d

114723147133 has 24 divisors (see below), whose sum is σ = 134736205560. Its totient is φ = 97389734400.

The previous prime is 114723147113. The next prime is 114723147247. The reversal of 114723147133 is 331741327411.

It can be written as a sum of positive squares in 4 ways, for example, as 1690689924 + 113032457209 = 41118^2 + 336203^2 .

It is not a de Polignac number, because 114723147133 - 25 = 114723147101 is a prime.

It is a super-2 number, since 2×1147231471332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114723147092 and 114723147101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114723147113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22434985 + ... + 22440097.

It is an arithmetic number, because the mean of its divisors is an integer number (5614008565).

Almost surely, 2114723147133 is an apocalyptic number.

It is an amenable number.

114723147133 is a deficient number, since it is larger than the sum of its proper divisors (20013058427).

114723147133 is a wasteful number, since it uses less digits than its factorization.

114723147133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9430 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The spelling of 114723147133 in words is "one hundred fourteen billion, seven hundred twenty-three million, one hundred forty-seven thousand, one hundred thirty-three".

Divisors: 1 7 49 109 763 4201 5113 5341 29407 35791 205849 250537 457909 557317 3205363 3901219 21479713 22437541 27308533 150357991 1052505937 2341288717 16389021019 114723147133