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131223034012200 = 233521343494379151
BaseRepresentation
bin11101110101100010111110…
…010101000010001000101000
3122012121210120212021110022020
4131311202332111002020220
5114144424233201342300
61143031010221224440
736432360053243154
oct3565427625021050
9565553525243266
10131223034012200
11388a24157a4639
1212873aa0702120
13582b381caa2c0
14245932b90a064
15102862b5618a0
hex7758be542228

131223034012200 has 384 divisors, whose sum is σ = 448367382650880. Its totient is φ = 31543085952000.

The previous prime is 131223034012181. The next prime is 131223034012249. The reversal of 131223034012200 is 2210430322131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1657842625 + ... + 1657921775.

It is an arithmetic number, because the mean of its divisors is an integer number (1167623392320).

Almost surely, 2131223034012200 is an apocalyptic number.

131223034012200 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 131223034012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224183691325440).

131223034012200 is an abundant number, since it is smaller than the sum of its proper divisors (317144348638680).

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

131223034012200 is a wasteful number, since it uses less digits than its factorization.

131223034012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84169 (or 84160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131223034012200 its reverse (2210430322131), we get a palindrome (133433464334331).

The spelling of 131223034012200 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, thirty-four million, twelve thousand, two hundred".