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131034034229 = 7237091147921
BaseRepresentation
bin111101000001000111…
…1001011000000110101
3110112012222122121220212
41322002033023000311
54121324203043404
6140110214035205
712316100625260
oct1720217130065
9415188577825
10131034034229
115063132937a
122148b048b05
13c483199cc7
1464b0955cd7
15361da1906e
hex1e823cb035

131034034229 has 16 divisors (see below), whose sum is σ = 156484727040. Its totient is φ = 107280011520.

The previous prime is 131034034189. The next prime is 131034034237. The reversal of 131034034229 is 922430430131.

It is a cyclic number.

It is not a de Polignac number, because 131034034229 - 228 = 130765598773 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131034034195 and 131034034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034034249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459812 + ... + 688109.

It is an arithmetic number, because the mean of its divisors is an integer number (9780295440).

Almost surely, 2131034034229 is an apocalyptic number.

It is an amenable number.

131034034229 is a deficient number, since it is larger than the sum of its proper divisors (25450692811).

131034034229 is a wasteful number, since it uses less digits than its factorization.

131034034229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148660.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 131034034229 in words is "one hundred thirty-one billion, thirty-four million, thirty-four thousand, two hundred twenty-nine".

Divisors: 1 7 23 161 709 4963 16307 114149 1147921 8035447 26402183 184815281 813875989 5697131923 18719147747 131034034229