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334054110130 = 2513195919911519
BaseRepresentation
bin1001101110001110010…
…11010011001110110010
31011221020210202001201021
410313013023103032302
520433120323011010
6413243510530054
733064113041266
oct4670713231662
91157223661637
10334054110130
11119742922274
12548aa06692a
13256690ac530
141224db880a6
158a5219a8da
hex4dc72d33b2

334054110130 has 128 divisors (see below), whose sum is σ = 696729600000. Its totient is φ = 114283623168.

The previous prime is 334054110127. The next prime is 334054110133. The reversal of 334054110130 is 31011450433.

It is an interprime number because it is at equal distance from previous prime (334054110127) and next prime (334054110133).

It is a super-2 number, since 2×3340541101302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334054110095 and 334054110104.

It is not an unprimeable number, because it can be changed into a prime (334054110133) 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, 28994511 + ... + 29006029.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200000).

Almost surely, 2334054110130 is an apocalyptic number.

334054110130 is an abundant number, since it is smaller than the sum of its proper divisors (362675489870).

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

334054110130 is a wasteful number, since it uses less digits than its factorization.

334054110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 334054110130 its reverse (31011450433), we get a palindrome (365065560563).

The spelling of 334054110130 in words is "three hundred thirty-four billion, fifty-four million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 59 65 95 118 130 190 199 247 295 398 494 590 767 995 1121 1235 1534 1990 2242 2470 2587 3781 3835 5174 5605 7562 7670 11210 11519 11741 12935 14573 18905 23038 23482 25870 29146 37810 49153 57595 58705 72865 98306 115190 117410 145730 149747 152633 218861 223079 245765 299494 305266 437722 446158 491530 679621 748735 763165 1094305 1115395 1359242 1497470 1526330 2188610 2230790 2292281 2845193 2900027 3398105 4584562 5690386 5800054 6796210 8835073 11461405 12912799 14225965 14500135 17670146 22922810 25825598 28451930 29000270 29799653 43553339 44175365 59599306 64563995 87106678 88350730 129127990 135244579 148998265 167866387 217766695 270489158 297996530 335732774 435533390 566193407 676222895 839331935 1132386814 1352445790 1678663870 1758179527 2569647001 2830967035 3516359054 5139294002 5661934070 8790897635 12848235005 17581795270 25696470010 33405411013 66810822026 167027055065 334054110130