Search a number
-
+
330101312113300 = 225272135182124209
BaseRepresentation
bin100101100001110011011001…
…1011100101100101010010100
31121021210101012000020221122211
41023003212303130230222110
5321231334441400111200
63130022241013403204
7126350014146006100
oct11303466334545224
91537711160227584
10330101312113300
11961a91a8a67832
1231033a19639504
13112265601401b0
145b72dbb1d8900
152826a5cb56aba
hex12c39b372ca94

330101312113300 has 108 divisors (see below), whose sum is σ = 897367720948860. Its totient is φ = 104471624033280.

The previous prime is 330101312113277. The next prime is 330101312113301. The reversal of 330101312113300 is 3311213101033.

It can be written as a sum of positive squares in 6 ways, for example, as 110403521406864 + 219697790706436 = 10507308^2 + 14822206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101312113301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2590998405 + ... + 2591125804.

Almost surely, 2330101312113300 is an apocalyptic number.

It is an amenable number.

330101312113300 is an abundant number, since it is smaller than the sum of its proper divisors (567266408835560).

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

330101312113300 is a wasteful number, since it uses less digits than its factorization.

330101312113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182124250 (or 5182124236 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 330101312113300 its reverse (3311213101033), we get a palindrome (333412525214333).

The spelling of 330101312113300 in words is "three hundred thirty trillion, one hundred one billion, three hundred twelve million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 5182124209 10364248418 20728496836 25910621045 36274869463 51821242090 67367614717 72549738926 103642484180 129553105225 134735229434 145099477852 181374347315 253924086241 259106210450 269470458868 336838073585 362748694630 471573303019 507848172482 518212420900 673676147170 725497389260 906871736575 943146606038 1015696344964 1269620431205 1347352294340 1684190367925 1813743473150 1886293212076 2357866515095 2539240862410 3301013121133 3368380735850 3627486946300 4715733030190 5078481724820 6348102156025 6602026242266 6736761471700 9431466060380 11789332575475 12696204312050 13204052484532 16505065605665 23578665150950 25392408624100 33010131211330 47157330301900 66020262422660 82525328028325 165050656056650 330101312113300