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10033140110031 = 334112149746017
BaseRepresentation
bin1001001000000000010111…
…0000001001001011001111
31022112011021210012021101000
42102000011300021023033
52303340332332010111
633201054432351343
72053604364545013
oct222000560111317
938464253167330
1010033140110031
113219038035205
1211605a63a5553
1357a175c5029c
1426986c612543
15125eb9589c56
hex92005c092cf

10033140110031 has 32 divisors (see below), whose sum is σ = 15227719416000. Its totient is φ = 6525073704960.

The previous prime is 10033140110027. The next prime is 10033140110041. The reversal of 10033140110031 is 13001104133001.

10033140110031 is a `hidden beast` number, since 100 + 3 + 31 + 401 + 100 + 31 = 666.

It is not a de Polignac number, because 10033140110031 - 22 = 10033140110027 is a prime.

It is a super-2 number, since 2×100331401100312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10033140109986 and 10033140110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033140110041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13075935 + ... + 13821951.

It is an arithmetic number, because the mean of its divisors is an integer number (475866231750).

Almost surely, 210033140110031 is an apocalyptic number.

10033140110031 is a deficient number, since it is larger than the sum of its proper divisors (5194579305969).

10033140110031 is a wasteful number, since it uses less digits than its factorization.

10033140110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758216 (or 758210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10033140110031 its reverse (13001104133001), we get a palindrome (23034244243032).

The spelling of 10033140110031 in words is "ten trillion, thirty-three billion, one hundred forty million, one hundred ten thousand, thirty-one".

Divisors: 1 3 9 27 41 123 369 1107 12149 36447 109341 328023 498109 746017 1494327 2238051 4482981 6714153 13448943 20142459 30586697 91760091 275280273 825840819 9063360533 27190081599 81570244797 244710734391 371597781853 1114793345559 3344380036677 10033140110031