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131333300 = 22527373503
BaseRepresentation
bin1111101001111…
…11110010110100
3100011010102102022
413310333302310
5232110131200
621010532312
73153212630
oct764776264
9304112368
10131333300
116815271a
1237b97098
1321294617
1413629dc0
15b7e3885
hex7d3fcb4

131333300 has 72 divisors (see below), whose sum is σ = 327229056. Its totient is φ = 44818560.

The previous prime is 131333287. The next prime is 131333303. The reversal of 131333300 is 3333131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260849 + ... + 261351.

It is an arithmetic number, because the mean of its divisors is an integer number (4544848).

Almost surely, 2131333300 is an apocalyptic number.

131333300 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 131333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614528).

131333300 is an abundant number, since it is smaller than the sum of its proper divisors (195895756).

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

131333300 is a wasteful number, since it uses less digits than its factorization.

131333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 131333300 is about 11460.0741707896. The cubic root of 131333300 is about 508.3056678186.

Adding to 131333300 its reverse (3333131), we get a palindrome (134666431).

The spelling of 131333300 in words is "one hundred thirty-one million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 373 503 700 746 1006 1492 1865 2012 2515 2611 3521 3730 5030 5222 7042 7460 9325 10060 10444 12575 13055 14084 17605 18650 25150 26110 35210 37300 50300 52220 65275 70420 88025 130550 176050 187619 261100 352100 375238 750476 938095 1313333 1876190 2626666 3752380 4690475 5253332 6566665 9380950 13133330 18761900 26266660 32833325 65666650 131333300