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131248730081 = 7191453679169
BaseRepresentation
bin111101000111100001…
…0001010111111100001
3110112202221122022021002
41322033002022333201
54122244133330311
6140143403441345
712324315540560
oct1721702127741
9415687568232
10131248730081
1150731539567
122152ab26255
13c4b87cb381
1464d1281bd7
1536327c793b
hex1e8f08afe1

131248730081 has 16 divisors (see below), whose sum is σ = 158002108800. Its totient is φ = 106504409088.

The previous prime is 131248730071. The next prime is 131248730101. The reversal of 131248730081 is 180037842131.

It is not a de Polignac number, because 131248730081 - 214 = 131248713697 is a prime.

It is a super-2 number, since 2×1312487300812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131248730071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146336 + ... + 532833.

It is an arithmetic number, because the mean of its divisors is an integer number (9875131800).

Almost surely, 2131248730081 is an apocalyptic number.

It is an amenable number.

131248730081 is a deficient number, since it is larger than the sum of its proper divisors (26753378719).

131248730081 is a wasteful number, since it uses less digits than its factorization.

131248730081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680648.

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 131248730081 in words is "one hundred thirty-one billion, two hundred forty-eight million, seven hundred thirty thousand, eighty-one".

Divisors: 1 7 19 133 1453 10171 27607 193249 679169 4754183 12904211 90329477 986832557 6907827899 18749818583 131248730081