Search a number
-
+
230501053431 = 33112383325681
BaseRepresentation
bin1101011010101011101…
…1101111001111110111
3211000222000101201222000
43112222323233033313
512234031232202211
6253520221310343
722440013425015
oct3265273571767
9730860351860
10230501053431
1189833921080
123880a4053b3
131897544799c
14b228cb78b5
155ee1073656
hex35aaeef3f7

230501053431 has 32 divisors (see below), whose sum is σ = 372684426240. Its totient is φ = 139638556800.

The previous prime is 230501053411. The next prime is 230501053463. The reversal of 230501053431 is 134350105032.

230501053431 is a `hidden beast` number, since 2 + 305 + 0 + 10 + 5 + 343 + 1 = 666.

It is not a de Polignac number, because 230501053431 - 25 = 230501053399 is a prime.

It is a super-2 number, since 2×2305010534312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230501053395 and 230501053404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230501053411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544911 + ... + 870591.

It is an arithmetic number, because the mean of its divisors is an integer number (11646388320).

Almost surely, 2230501053431 is an apocalyptic number.

230501053431 is a deficient number, since it is larger than the sum of its proper divisors (142183372809).

230501053431 is a wasteful number, since it uses less digits than its factorization.

230501053431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328084 (or 328078 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 230501053431 its reverse (134350105032), we get a palindrome (364851158463).

The spelling of 230501053431 in words is "two hundred thirty billion, five hundred one million, fifty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 2383 7149 21447 26213 64341 78639 235917 325681 707751 977043 2931129 3582491 8793387 10747473 32242419 96727257 776097823 2328293469 6984880407 8537076053 20954641221 25611228159 76833684477 230501053431