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331142404401103 = 41157263195603013
BaseRepresentation
bin100101101001011000001100…
…1011000100110011111001111
31121102110220102112001212211011
41023102300121120212133033
5321400414121011313403
63132140415342310051
7126515151323311351
oct11322603130463717
91542426375055734
10331142404401103
119656a783468759
1231181749288327
13112a079686b819
145bab540d010d1
152843b91c15a6d
hex12d2c196267cf

331142404401103 has 16 divisors (see below), whose sum is σ = 342677702638656. Its totient is φ = 319787452258560.

The previous prime is 331142404401047. The next prime is 331142404401113. The reversal of 331142404401103 is 301104404241133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331142404401103 is a prime.

It is a super-3 number, since 3×3311424044011033 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331142404401113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96108576 + ... + 99494437.

It is an arithmetic number, because the mean of its divisors is an integer number (21417356414916).

Almost surely, 2331142404401103 is an apocalyptic number.

331142404401103 is a deficient number, since it is larger than the sum of its proper divisors (11535298237553).

331142404401103 is a wasteful number, since it uses less digits than its factorization.

331142404401103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195603474.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 331142404401103 its reverse (301104404241133), we get a palindrome (632246808642236).

The spelling of 331142404401103 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred four million, four hundred one thousand, one hundred three".

Divisors: 1 41 157 263 6437 10783 41291 1692931 195603013 8019723533 30709673041 51443592419 1259096594681 2109187289179 8076644009783 331142404401103