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131214438433 = 13331186716333
BaseRepresentation
bin111101000110011111…
…1010111000000100001
3110112200120010002222001
41322030333113000201
54122211344012213
6140140140444001
712323421216121
oct1721477270041
9415616102861
10131214438433
1150714147761
122151b549601
13c4b1682b60
1464ca8b6c81
15362e7a21dd
hex1e8cfd7021

131214438433 has 16 divisors (see below), whose sum is σ = 141819366976. Its totient is φ = 120683027520.

The previous prime is 131214438427. The next prime is 131214438449. The reversal of 131214438433 is 334834412131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131214438433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131214438392 and 131214438401.

It is not an unprimeable number, because it can be changed into a prime (131214438533) 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, 8025535 + ... + 8041867.

It is an arithmetic number, because the mean of its divisors is an integer number (8863710436).

Almost surely, 2131214438433 is an apocalyptic number.

131214438433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131214438433 is a deficient number, since it is larger than the sum of its proper divisors (10604928543).

131214438433 is a wasteful number, since it uses less digits than its factorization.

131214438433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18544.

The product of its digits is 82944, while the sum is 37.

The spelling of 131214438433 in words is "one hundred thirty-one billion, two hundred fourteen million, four hundred thirty-eight thousand, four hundred thirty-three".

Divisors: 1 13 331 1867 4303 16333 24271 212329 617977 5406223 8033701 30493711 70280899 396418243 10093418341 131214438433