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131024102341 = 1127316978741
BaseRepresentation
bin111101000000110100…
…1010010001111000101
3110112012021222000221011
41322001221102033011
54121314132233331
6140105221122221
712315620331316
oct1720151221705
9415167860834
10131024102341
1150626765400
1221487859371
13c481100452
1464ad4cc60d
15361cc063b1
hex1e81a523c5

131024102341 has 24 divisors (see below), whose sum is σ = 146093821272. Its totient is φ = 117398476800.

The previous prime is 131024102327. The next prime is 131024102383. The reversal of 131024102341 is 143201420131.

It can be written as a sum of positive squares in 4 ways, for example, as 35854937316 + 95169165025 = 189354^2 + 308495^2 .

It is not a de Polignac number, because 131024102341 - 211 = 131024100293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131024102641) 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 23 ways as a sum of consecutive naturals, for example, 14985231 + ... + 14993971.

It is an arithmetic number, because the mean of its divisors is an integer number (6087242553).

Almost surely, 2131024102341 is an apocalyptic number.

131024102341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131024102341 is a deficient number, since it is larger than the sum of its proper divisors (15069718931).

131024102341 is a wasteful number, since it uses less digits than its factorization.

131024102341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10533 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131024102341 its reverse (143201420131), we get a palindrome (274225522472).

The spelling of 131024102341 in words is "one hundred thirty-one billion, twenty-four million, one hundred two thousand, three hundred forty-one".

Divisors: 1 11 73 121 803 1697 8741 8833 18667 96151 123881 205337 638093 1057661 1362691 7019023 14833477 14989601 77209253 163168247 1082843821 1794850717 11911282031 131024102341