Search a number
-
+
113042420304 = 243111283166871
BaseRepresentation
bin110100101000111011…
…0100111001001010000
3101210210010020221102120
41221101312213021100
53323002324422204
6123533031214240
711111203501332
oct1512166471120
9353703227376
10113042420304
1143a39554560
1219aa9817380
13a8769147c8
1456852ad452
152e1926a6d9
hex1a51da7250

113042420304 has 80 divisors (see below), whose sum is σ = 318824308224. Its totient is φ = 34228374400.

The previous prime is 113042420287. The next prime is 113042420321. The reversal of 113042420304 is 403024240311.

It is an interprime number because it is at equal distance from previous prime (113042420287) and next prime (113042420321).

It is a super-3 number, since 3×1130424203043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593989 + ... + 760859.

Almost surely, 2113042420304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113042420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159412154112).

113042420304 is an abundant number, since it is smaller than the sum of its proper divisors (205781887920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113042420304 is a wasteful number, since it uses less digits than its factorization.

113042420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168176 (or 168170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113042420304 its reverse (403024240311), we get a palindrome (516066660615).

The spelling of 113042420304 in words is "one hundred thirteen billion, forty-two million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1283 2566 3849 5132 7698 10264 14113 15396 20528 28226 30792 42339 56452 61584 84678 112904 166871 169356 225808 333742 338712 500613 667484 677424 1001226 1334968 1835581 2002452 2669936 3671162 4004904 5506743 7342324 8009808 11013486 14684648 22026972 29369296 44053944 88107888 214095493 428190986 642286479 856381972 1284572958 1712763944 2355050423 2569145916 3425527888 4710100846 5138291832 7065151269 9420201692 10276583664 14130302538 18840403384 28260605076 37680806768 56521210152 113042420304