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301053134430 = 233579131107741
BaseRepresentation
bin1000110000110000010…
…10100100011001011110
31001210001220120210121000
410120120022210121132
514413024100300210
6350145113251130
730515243264166
oct4303012443136
91053056523530
10301053134430
11106748711834
124a41a103aa6
132250a080a89
14107dcd615a6
157c6ed88ac0
hex46182a465e

301053134430 has 128 divisors (see below), whose sum is σ = 819183974400. Its totient is φ = 78658819200.

The previous prime is 301053134387. The next prime is 301053134449. The reversal of 301053134430 is 34431350103.

301053134430 is a `hidden beast` number, since 301 + 0 + 5 + 313 + 4 + 43 + 0 = 666.

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 = 301053134394 and 301053134403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2740360 + ... + 2848100.

It is an arithmetic number, because the mean of its divisors is an integer number (6399874800).

Almost surely, 2301053134430 is an apocalyptic number.

301053134430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 301053134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409591987200).

301053134430 is an abundant number, since it is smaller than the sum of its proper divisors (518130839970).

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

301053134430 is a wasteful number, since it uses less digits than its factorization.

301053134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107967 (or 107961 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 301053134430 its reverse (34431350103), we get a palindrome (335484484533).

The spelling of 301053134430 in words is "three hundred one billion, fifty-three million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 131 135 158 237 262 270 393 395 474 655 711 786 790 1179 1185 1310 1422 1965 2133 2358 2370 3537 3555 3930 4266 5895 7074 7110 10349 10665 11790 17685 20698 21330 31047 35370 51745 62094 93141 103490 107741 155235 186282 215482 279423 310470 323223 465705 538705 558846 646446 931410 969669 1077410 1397115 1616115 1939338 2794230 2909007 3232230 4848345 5818014 8511539 9696690 14114071 14545035 17023078 25534617 28228142 29090070 42342213 42557695 51069234 70570355 76603851 84684426 85115390 127026639 127673085 141140710 153207702 211711065 229811553 254053278 255346170 381079917 383019255 423422130 459623106 635133195 762159834 766038510 1115011609 1149057765 1270266390 1905399585 2230023218 2298115530 3345034827 3810799170 5575058045 6690069654 10035104481 11150116090 16725174135 20070208962 30105313443 33450348270 50175522405 60210626886 100351044810 150526567215 301053134430