Search a number
-
+
230303131119 = 33171979832591
BaseRepresentation
bin1101011001111100100…
…0101110010111101111
3211000110012222020121000
43112133020232113233
512233130100143434
6253444431211343
722432061213025
oct3263710562757
9730405866530
10230303131119
1189742128116
1238774076b53
131894343a2a9
14b20a8b6715
155ecd9c9b99
hex359f22e5ef

230303131119 has 64 divisors (see below), whose sum is σ = 363603271680. Its totient is φ = 143568714240.

The previous prime is 230303131117. The next prime is 230303131127. The reversal of 230303131119 is 911131303032.

230303131119 is a `hidden beast` number, since 2 + 30 + 303 + 1 + 311 + 19 = 666.

It is not a de Polignac number, because 230303131119 - 21 = 230303131117 is a prime.

It is a super-2 number, since 2×2303031311192 (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 = 230303131092 and 230303131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303131111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88884514 + ... + 88887104.

It is an arithmetic number, because the mean of its divisors is an integer number (5681301120).

Almost surely, 2230303131119 is an apocalyptic number.

230303131119 is a deficient number, since it is larger than the sum of its proper divisors (133300140561).

230303131119 is a wasteful number, since it uses less digits than its factorization.

230303131119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 230303131119 in words is "two hundred thirty billion, three hundred three million, one hundred thirty-one thousand, one hundred nineteen".

Divisors: 1 3 9 17 27 51 153 197 459 591 983 1773 2591 2949 3349 5319 7773 8847 10047 16711 23319 26541 30141 44047 50133 69957 90423 132141 150399 193651 396423 451197 510427 580953 1189269 1531281 1742859 2546953 3292067 4593843 5228577 7640859 8677259 9876201 13781529 22922577 26031777 29628603 43298201 68767731 78095331 88885809 129894603 234285993 389683809 501749741 1169051427 1505249223 4515747669 8529745597 13547243007 25589236791 76767710373 230303131119