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131233012134 = 23741197386851
BaseRepresentation
bin111101000111000011…
…0001101100110100110
3110112201212001202021220
41322032012031212212
54122231122342014
6140142042521210
712324035124630
oct1721606154646
9415655052256
10131233012134
1150723683424
1221525806206
13c4b5487003
1464cd14da50
1536312206a9
hex1e8e18d9a6

131233012134 has 64 divisors (see below), whose sum is σ = 308837878272. Its totient is φ = 36394848000.

The previous prime is 131233012067. The next prime is 131233012159. The reversal of 131233012134 is 431210332131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 145809 + ... + 532659.

It is an arithmetic number, because the mean of its divisors is an integer number (4825591848).

Almost surely, 2131233012134 is an apocalyptic number.

131233012134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233012134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154418939136).

131233012134 is an abundant number, since it is smaller than the sum of its proper divisors (177604866138).

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

131233012134 is a wasteful number, since it uses less digits than its factorization.

131233012134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387101.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131233012134 its reverse (431210332131), we get a palindrome (562443344265).

The spelling of 131233012134 in words is "one hundred thirty-one billion, two hundred thirty-three million, twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 197 246 287 394 574 591 861 1182 1379 1722 2758 4137 8077 8274 16154 24231 48462 56539 113078 169617 339234 386851 773702 1160553 2321106 2707957 5415914 8123871 15860891 16247742 31721782 47582673 76209647 95165346 111026237 152419294 222052474 228628941 333078711 457257882 533467529 666157422 1066935058 1600402587 3124595527 3200805174 6249191054 9373786581 18747573162 21872168689 43744337378 65616506067 131233012134