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131303122003300 = 225213101002401541
BaseRepresentation
bin11101110110101101100011…
…111100011110010101100100
3122012220110022022221221101211
4131312231203330132111210
5114202232243213101200
61143131453241001204
736441223524032452
oct3566554374362544
9565813268857354
10131303122003300
113892338333a735
1212887511a83204
135835aa640c850
14245d16822b9d2
15102a767611aba
hex776b63f1e564

131303122003300 has 36 divisors (see below), whose sum is σ = 306845295884596. Its totient is φ = 48481152739200.

The previous prime is 131303122003297. The next prime is 131303122003301. The reversal of 131303122003300 is 3300221303131.

It can be written as a sum of positive squares in 6 ways, for example, as 6700197648676 + 124602924354624 = 2588474^2 + 11162568^2 .

It is not an unprimeable number, because it can be changed into a prime (131303122003301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50501199471 + ... + 50501202070.

Almost surely, 2131303122003300 is an apocalyptic number.

131303122003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303122003300 is an abundant number, since it is smaller than the sum of its proper divisors (175542173881296).

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

131303122003300 is a wasteful number, since it uses less digits than its factorization.

131303122003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101002401568 (or 101002401561 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131303122003300 its reverse (3300221303131), we get a palindrome (134603343306431).

The spelling of 131303122003300 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 101002401541 202004803082 404009606164 505012007705 1010024015410 1313031220033 2020048030820 2525060038525 2626062440066 5050120077050 5252124880132 6565156100165 10100240154100 13130312200330 26260624400660 32825780500825 65651561001650 131303122003300