Search a number
-
+
304334232433101 = 33139296551142469
BaseRepresentation
bin100010100110010100101010…
…1110100010011000111001101
31110220120001211220221002122000
41011030221111310103013031
5304342203002000324401
62555133114415142513
7121050264662336523
oct10514512564230715
91426501756832560
10304334232433101
1188a74472260012
122a17201a814a39
13100a7797217510
145521bd949c313
15252b67248b186
hex114ca55d131cd

304334232433101 has 64 divisors (see below), whose sum is σ = 486147759552000. Its totient is φ = 187051138099200.

The previous prime is 304334232433067. The next prime is 304334232433117. The reversal of 304334232433101 is 101334232433403.

304334232433101 is a `hidden beast` number, since 3 + 0 + 4 + 334 + 2 + 3 + 2 + 4 + 3 + 310 + 1 = 666.

It is not a de Polignac number, because 304334232433101 - 27 = 304334232432973 is a prime.

It is a super-2 number, since 2×3043342324331012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304334232433171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136072295 + ... + 2136214763.

It is an arithmetic number, because the mean of its divisors is an integer number (7596058743000).

Almost surely, 2304334232433101 is an apocalyptic number.

It is an amenable number.

304334232433101 is a deficient number, since it is larger than the sum of its proper divisors (181813527118899).

304334232433101 is a wasteful number, since it uses less digits than its factorization.

304334232433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149971 (or 149965 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 304334232433101 its reverse (101334232433403), we get a palindrome (405668464866504).

The spelling of 304334232433101 in words is "three hundred four trillion, three hundred thirty-four billion, two hundred thirty-two million, four hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 13 27 39 117 351 929 2787 6551 8361 12077 19653 25083 36231 58959 85163 108693 142469 176877 255489 326079 427407 766467 1282221 1852097 2299401 3846663 5556291 6085879 16668873 18257637 50006619 54772911 79116427 132353701 164318733 237349281 397061103 712047843 933314419 1191183309 1720598113 2136143529 2799943257 3573549927 5161794339 8399829771 12133087447 15485383017 25199489313 36399262341 46456149051 109197787023 327593361069 867049095251 2601147285753 7803441857259 11271638238263 23410325571777 33814914714789 101444744144367 304334232433101