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31414104033 = 3131017975147
BaseRepresentation
bin11101010000011011…
…010010111111100001
310000002022011211102120
4131100123102333201
51003314002312113
622233105134453
72161320323064
oct352033227741
9100068154376
1031414104033
1112360496354
12610862a429
132c68341450
14174018c8db
15c3cd57a23
hex7506d2fe1

31414104033 has 16 divisors (see below), whose sum is σ = 45554045376. Its totient is φ = 19140350400.

The previous prime is 31414104031. The next prime is 31414104049. The reversal of 31414104033 is 33040141413.

It is not a de Polignac number, because 31414104033 - 21 = 31414104031 is a prime.

It is a super-2 number, since 2×314141040332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31414103994 and 31414104012.

It is not an unprimeable number, because it can be changed into a prime (31414104031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983635 + ... + 3991512.

It is an arithmetic number, because the mean of its divisors is an integer number (2847127836).

Almost surely, 231414104033 is an apocalyptic number.

It is an amenable number.

31414104033 is a deficient number, since it is larger than the sum of its proper divisors (14139941343).

31414104033 is a wasteful number, since it uses less digits than its factorization.

31414104033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975264.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31414104033 its reverse (33040141413), we get a palindrome (64454245446).

The spelling of 31414104033 in words is "thirty-one billion, four hundred fourteen million, one hundred four thousand, thirty-three".

Divisors: 1 3 13 39 101 303 1313 3939 7975147 23925441 103676911 311030733 805489847 2416469541 10471368011 31414104033