Search a number
-
+
301013120230024 = 232692714674912251
BaseRepresentation
bin100010001110001010001010…
…0000110101010001010001000
31110110210120110220101202101111
41010130110110012222022020
5303423244332234330044
62544111303550500104
7120255323505363436
oct10434242406521210
91413716426352344
10301013120230024
1187a03a46a79424
1229916438b04634
13cbc6552949b77
145449181583d56
1524c0096d75b34
hex111c5141aa288

301013120230024 has 128 divisors (see below), whose sum is σ = 571219821619200. Its totient is φ = 148704141600000.

The previous prime is 301013120229989. The next prime is 301013120230051. The reversal of 301013120230024 is 420032021310103.

It is a super-2 number, since 2×3010131202300242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301013120229977 and 301013120230004.

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 31 ways as a sum of consecutive naturals, for example, 133724174899 + ... + 133724177149.

It is an arithmetic number, because the mean of its divisors is an integer number (4462654856400).

Almost surely, 2301013120230024 is an apocalyptic number.

It is an amenable number.

301013120230024 is a deficient number, since it is larger than the sum of its proper divisors (270206701389176).

301013120230024 is a wasteful number, since it uses less digits than its factorization.

301013120230024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 301013120230024 its reverse (420032021310103), we get a palindrome (721045141540127).

The spelling of 301013120230024 in words is "three hundred one trillion, thirteen billion, one hundred twenty million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 269 271 467 491 538 542 934 982 1076 1084 1868 1964 2152 2168 2251 3736 3928 4502 9004 18008 72899 125623 126557 132079 133061 145798 229297 251246 253114 264158 266122 291596 458594 502492 506228 528316 532244 583192 605519 610021 917188 1004984 1012456 1051217 1056632 1064488 1105241 1211038 1220042 1834376 2102434 2210482 2422076 2440084 4204868 4420964 4844152 4880168 8409736 8841928 34043833 35793409 61680893 62139487 68087666 71586818 123361786 124278974 136175332 143173636 164095649 246723572 248557948 272350664 282777373 284879807 286347272 297309829 299520311 328191298 493447144 497115896 516147547 565554746 569759614 594619658 599040622 656382596 1032295094 1131109492 1139519228 1189239316 1198081244 1312765192 2064590188 2262218984 2279038456 2378478632 2396162488 4129180376 16715522003 33431044006 66862088012 76632668083 80570963659 133724176024 138843690143 139875985237 153265336166 161141927318 277687380286 279751970474 306530672332 322283854636 555374760572 559503940948 613061344664 644567709272 1110749521144 1119007881896 37626640028753 75253280057506 150506560115012 301013120230024