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130032112032200 = 235271743223569771
BaseRepresentation
bin11101100100001101110101…
…110110001101100111001000
3122001101221121110110112122202
4131210031311312031213020
5114020421231140012300
61140315532210135332
736250336645366550
oct3544156566154710
9561357543415582
10130032112032200
1138483344348314
1212701117281548
135772c8b38b981
142417832d06160
151007678814ad5
hex764375d8d9c8

130032112032200 has 384 divisors, whose sum is σ = 376025452830720. Its totient is φ = 40800272486400.

The previous prime is 130032112032197. The next prime is 130032112032247. The reversal of 130032112032200 is 2230211230031.

It is a super-2 number, since 2×1300321120322002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 227933315 + ... + 228503085.

It is an arithmetic number, because the mean of its divisors is an integer number (979232950080).

Almost surely, 2130032112032200 is an apocalyptic number.

130032112032200 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 130032112032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188012726415360).

130032112032200 is an abundant number, since it is smaller than the sum of its proper divisors (245993340798520).

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

130032112032200 is a wasteful number, since it uses less digits than its factorization.

130032112032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570077 (or 570068 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130032112032200 its reverse (2230211230031), we get a palindrome (132262323262231).

The spelling of 130032112032200 in words is "one hundred thirty trillion, thirty-two billion, one hundred twelve million, thirty-two thousand, two hundred".