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131002541430 = 2359241472541
BaseRepresentation
bin111101000000001011…
…1000010010101110110
3110112010210101121220220
41322000113002111312
54121243122311210
6140103131035210
712315236141445
oct1720027022566
9415123347826
10131002541430
1150615579372
122148059bb06
13c4797c1707
1464aa6b8d5c
15361ad97c70
hex1e805c2576

131002541430 has 32 divisors (see below), whose sum is σ = 314440787808. Its totient is φ = 34930156800.

The previous prime is 131002541413. The next prime is 131002541431. The reversal of 131002541430 is 34145200131.

It is a happy number.

It is a super-2 number, since 2×1310025414302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131002541430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002541431) 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, 40960 + ... + 513500.

It is an arithmetic number, because the mean of its divisors is an integer number (9826274619).

Almost surely, 2131002541430 is an apocalyptic number.

131002541430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131002541430 is an abundant number, since it is smaller than the sum of its proper divisors (183438246378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131002541430 is a wasteful number, since it uses less digits than its factorization.

131002541430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481792.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131002541430 its reverse (34145200131), we get a palindrome (165147741561).

The spelling of 131002541430 in words is "one hundred thirty-one billion, two million, five hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 9241 18482 27723 46205 55446 92410 138615 277230 472541 945082 1417623 2362705 2835246 4725410 7088115 14176230 4366751381 8733502762 13100254143 21833756905 26200508286 43667513810 65501270715 131002541430