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130043201200 = 24521128113313
BaseRepresentation
bin111100100011100101…
…1011100011010110000
3110102122221020002112021
41321013023130122300
54112312024414300
6135424021041224
712252406654243
oct1710713343260
9412587202467
10130043201200
1150172aa6900
1221253256214
13c355b1c483
14641911325a
1535b1a48d1a
hex1e472dc6b0

130043201200 has 180 divisors, whose sum is σ = 343940692984. Its totient is φ = 47215872000.

The previous prime is 130043201149. The next prime is 130043201213. The reversal of 130043201200 is 2102340031.

It is a happy number.

It is a super-2 number, since 2×1300432012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39250744 + ... + 39254056.

Almost surely, 2130043201200 is an apocalyptic number.

130043201200 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 130043201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171970346492).

130043201200 is an abundant number, since it is smaller than the sum of its proper divisors (213897491784).

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

130043201200 is a wasteful number, since it uses less digits than its factorization.

130043201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130043201200 its reverse (2102340031), we get a palindrome (132145541231).

The spelling of 130043201200 in words is "one hundred thirty billion, forty-three million, two hundred one thousand, two hundred".