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330100130401041 = 3711131719340320289
BaseRepresentation
bin100101100001110010110110…
…1000000110100101100010001
31121021210021010122122202012010
41023003211231000310230101
5321231330031340313131
63130021523441253133
7126346642646425620
oct11303455500645421
91537707118582163
10330100130401041
11961a8751a11930
12310337499341a9
131122640237c980
145b72d082a96b7
1528269de02eb46
hex12c396d034b11

330100130401041 has 128 divisors (see below), whose sum is σ = 658642276454400. Its totient is φ = 141137629839360.

The previous prime is 330100130400959. The next prime is 330100130401043. The reversal of 330100130401041 is 140104031001033.

It is not a de Polignac number, because 330100130401041 - 27 = 330100130400913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 330100130400999 and 330100130401017.

It is not an unprimeable number, because it can be changed into a prime (330100130401043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169190176 + ... + 171130113.

It is an arithmetic number, because the mean of its divisors is an integer number (5145642784800).

Almost surely, 2330100130401041 is an apocalyptic number.

It is an amenable number.

330100130401041 is a deficient number, since it is larger than the sum of its proper divisors (328542146053359).

330100130401041 is a wasteful number, since it uses less digits than its factorization.

330100130401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340320359.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 330100130401041 its reverse (140104031001033), we get a palindrome (470204161402074).

The spelling of 330100130401041 in words is "three hundred thirty trillion, one hundred billion, one hundred thirty million, four hundred one thousand, forty-one".

Divisors: 1 3 7 11 13 17 19 21 33 39 51 57 77 91 119 133 143 187 209 221 231 247 273 323 357 399 429 561 627 663 741 969 1001 1309 1463 1547 1729 2261 2431 2717 3003 3553 3927 4199 4389 4641 5187 6783 7293 8151 10659 12597 17017 19019 24871 29393 46189 51051 57057 74613 88179 138567 323323 969969 340320289 1020960867 2382242023 3743523179 4424163757 5785444913 6466085491 7146726069 11230569537 13272491271 17356334739 19398256473 26204662253 30969146299 40498114391 45262598437 48665801327 63639894043 71126940401 75210783869 78613986759 84059111383 92907438897 109923453347 121494343173 135787795311 145997403981 190919682129 213380821203 225632351607 252177334149 329770360041 340660609289 445479258301 497888582807 526475487083 588413779681 769464173429 827318622559 924650225213 1021981827867 1209157986817 1336437774903 1429004893511 1493665748421 1579426461249 1765241339043 2308392520287 2481955867677 2773950675639 3627473960451 4287014680533 5791230357913 6472551576491 8464105907719 10003034254577 15719053828621 17373691073739 19417654729473 25392317723157 30009102763731 47157161485863 110033376800347 330100130401041