Search a number
-
+
330102333100122 = 2311291074433638473
BaseRepresentation
bin100101100001110011111000…
…0010011011101000001011010
31121021210110211011102110021120
41023003213300103131001122
5321231344034233200442
63130022530204550110
7126350051354156052
oct11303476023350132
91537713734373246
10330102333100122
11961a96823152a0
1231034063552336
13112266938179cb
145b73076a4a562
152826abc5d14ec
hex12c39f04dd05a

330102333100122 has 128 divisors (see below), whose sum is σ = 753719494671360. Its totient is φ = 95463026480640.

The previous prime is 330102333100103. The next prime is 330102333100147. The reversal of 330102333100122 is 221001333201033.

It is a junction number, because it is equal to n+sod(n) for n = 330102333100092 and 330102333100101.

It is an unprimeable number.

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, 88906278 + ... + 92544750.

It is an arithmetic number, because the mean of its divisors is an integer number (5888433552120).

Almost surely, 2330102333100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330102333100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376859747335680).

330102333100122 is an abundant number, since it is smaller than the sum of its proper divisors (423617161571238).

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

330102333100122 is a wasteful number, since it uses less digits than its factorization.

330102333100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639068.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330102333100122 its reverse (221001333201033), we get a palindrome (551103666301155).

The spelling of 330102333100122 in words is "three hundred thirty trillion, one hundred two billion, three hundred thirty-three million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 107 174 214 319 321 443 638 642 886 957 1177 1329 1914 2354 2658 3103 3531 4873 6206 7062 9309 9746 12847 14619 18618 25694 29238 34133 38541 47401 68266 77082 94802 102399 141317 142203 204798 282634 284406 423951 521411 847902 1042822 1374629 1564233 2749258 3128466 3638473 4123887 7276946 8247774 10915419 15120919 21830838 30241838 40023203 45362757 80046406 90725514 105515717 120069609 211031434 240139218 316547151 389316611 633094302 778633222 1160672887 1167949833 1611843539 2321345774 2335899666 3223687078 3482018661 4282482721 4835530617 6964037322 8564965442 9671061234 11290181719 12847448163 17730278929 22580363438 25694896326 33870545157 35460557858 46743462631 53190836787 67741090314 93486925262 106381673574 124191998909 140230387893 172467258673 248383997818 280460775786 344934517346 372575996727 514178088941 517401776019 745151993454 1028356177882 1034803552038 1542534266823 1897139845403 3085068533646 3794279690806 5001550501517 5691419536209 10003101003034 11382839072418 15004651504551 30009303009102 55017055516687 110034111033374 165051166550061 330102333100122