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131330140300 = 225223283201767
BaseRepresentation
bin111101001001111100…
…0101110100010001100
3110112222121211101002101
41322103320232202030
54122431003442200
6140155432404444
712326324526262
oct1722370564214
9415877741071
10131330140300
1150773493237
1221552246724
13c4cc6335b8
1464dbdd4432
153639a0926a
hex1e93e2e88c

131330140300 has 72 divisors (see below), whose sum is σ = 298429399296. Its totient is φ = 50070250560.

The previous prime is 131330140297. The next prime is 131330140321. The reversal of 131330140300 is 3041033131.

It is a super-3 number, since 3×1313301403003 (a number of 34 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 550017 + ... + 751783.

It is an arithmetic number, because the mean of its divisors is an integer number (4144852768).

Almost surely, 2131330140300 is an apocalyptic number.

131330140300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131330140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149214699648).

131330140300 is an abundant number, since it is smaller than the sum of its proper divisors (167099258996).

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

131330140300 is a wasteful number, since it uses less digits than its factorization.

131330140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202087 (or 202080 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131330140300 its reverse (3041033131), we get a palindrome (134371173431).

The spelling of 131330140300 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 283 460 566 575 1132 1150 1415 2300 2830 5660 6509 7075 13018 14150 26036 28300 32545 65090 130180 162725 201767 325450 403534 650900 807068 1008835 2017670 4035340 4640641 5044175 9281282 10088350 18562564 20176700 23203205 46406410 57100061 92812820 114200122 116016025 228400244 232032050 285500305 464064100 571000610 1142001220 1313301403 1427501525 2626602806 2855003050 5253205612 5710006100 6566507015 13133014030 26266028060 32832535075 65665070150 131330140300