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531340043135 = 511176716750789
BaseRepresentation
bin1111011101101100101…
…01011010001101111111
31212210111000000212012212
413232312111122031333
532201141022340020
61044032205051035
753250046563446
oct7566625321577
91783430025185
10531340043135
111953816697a0
1286b88856a7b
133b14a02b1b5
141ba07613d5d
15dc4c20bcc5
hex7bb655a37f

531340043135 has 64 divisors (see below), whose sum is σ = 751971548160. Its totient is φ = 356117329920.

The previous prime is 531340043131. The next prime is 531340043153.

531340043135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531340043135 - 22 = 531340043131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531340043131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10436321 + ... + 10487109.

It is an arithmetic number, because the mean of its divisors is an integer number (11749555440).

Almost surely, 2531340043135 is an apocalyptic number.

531340043135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531340043135 is a deficient number, since it is larger than the sum of its proper divisors (220631505025).

531340043135 is a wasteful number, since it uses less digits than its factorization.

531340043135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51056.

The product of its (nonzero) digits is 32400, while the sum is 32.

It can be divided in two parts, 5313400 and 43135, that added together give a palindrome (5356535).

The spelling of 531340043135 in words is "five hundred thirty-one billion, three hundred forty million, forty-three thousand, one hundred thirty-five".

Divisors: 1 5 11 17 55 67 85 167 187 335 737 835 935 1139 1837 2839 3685 5695 9185 11189 12529 14195 31229 50789 55945 62645 123079 156145 190213 253945 558679 615395 863413 951065 2092343 2793395 3402863 4317065 8481763 9497543 10461715 17014315 37431493 42408815 47487715 57848671 93299393 144189971 187157465 289243355 466496965 568278121 636335381 720949855 1586089681 2841390605 3181676905 6251059331 7930448405 9660728057 31255296655 48303640285 106268008627 531340043135