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131303020203300 = 2235211259100960761
BaseRepresentation
bin11101110110101101011101…
…111000001000110100100100
3122012220110001020101222001110
4131312231131320020310210
5114202232041133001200
61143131435203025020
736441221146532451
oct3566553570106444
9565813036358043
10131303020203300
1138923330929900
12128874a396b170
135835a8b2b896a
14245d1588cc828
15102a75d703b50
hex776b5de08d24

131303020203300 has 432 divisors, whose sum is σ = 425085264676800. Its totient is φ = 31259999232000.

The previous prime is 131303020203217. The next prime is 131303020203403. The reversal of 131303020203300 is 3302020303131.

It is a super-2 number, since 2×1313030202033002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2160944920 + ... + 2161005680.

Almost surely, 2131303020203300 is an apocalyptic number.

131303020203300 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 131303020203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212542632338400).

131303020203300 is an abundant number, since it is smaller than the sum of its proper divisors (293782244473500).

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

131303020203300 is a wasteful number, since it uses less digits than its factorization.

131303020203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61868 (or 61850 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 131303020203300 its reverse (3302020303131), we get a palindrome (134605040506431).

The spelling of 131303020203300 in words is "one hundred thirty-one trillion, three hundred three billion, twenty million, two hundred three thousand, three hundred".