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131321241024 = 2632971332183
BaseRepresentation
bin111101001001101011…
…0110001110111000000
3110112222000002020120120
41322103112301313000
54122421214203044
6140154513540240
712326156063001
oct1722326616700
9415860066516
10131321241024
1150769465066
122154b274680
13c4ca838a5c
1464dab591a8
153638d4c519
hex1e935b1dc0

131321241024 has 112 divisors (see below), whose sum is σ = 364498859520. Its totient is φ = 41668910080.

The previous prime is 131321241017. The next prime is 131321241097. The reversal of 131321241024 is 420142123131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131321240985 and 131321241003.

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 15 ways as a sum of consecutive naturals, for example, 229237 + ... + 561419.

Almost surely, 2131321241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131321241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182249429760).

131321241024 is an abundant number, since it is smaller than the sum of its proper divisors (233177618496).

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

131321241024 is a wasteful number, since it uses less digits than its factorization.

131321241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332298 (or 332288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131321241024 its reverse (420142123131), we get a palindrome (551463364155).

The spelling of 131321241024 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 71 87 96 116 142 174 192 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 1856 2059 2272 2784 3408 4118 4544 5568 6177 6816 8236 12354 13632 16472 24708 32944 49416 65888 98832 131776 197664 332183 395328 664366 996549 1328732 1993098 2657464 3986196 5314928 7972392 9633307 10629856 15944784 19266614 21259712 23584993 28899921 31889568 38533228 47169986 57799842 63779136 70754979 77066456 94339972 115599684 141509958 154132912 188679944 231199368 283019916 308265824 377359888 462398736 566039832 616531648 683964797 754719776 924797472 1132079664 1367929594 1509439552 1849594944 2051894391 2264159328 2735859188 4103788782 4528318656 5471718376 8207577564 10943436752 16415155128 21886873504 32830310256 43773747008 65660620512 131321241024