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181130287104 = 211351327997
BaseRepresentation
bin1010100010110000110…
…1001101100000000000
3122022112021120221200000
42220230031031200000
510431423323141404
6215113214400000
716041402015534
oct2505415154000
9568467527600
10181130287104
116a8a9363658
122b130200000
1314107b6aaa0
148aa3d7dbc4
154aa1a73339
hex2a2c34d800

181130287104 has 288 divisors, whose sum is σ = 584265623760. Its totient is φ = 55730405376.

The previous prime is 181130287099. The next prime is 181130287193. The reversal of 181130287104 is 401782031181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6455634 + ... + 6483630.

Almost surely, 2181130287104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181130287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292132811880).

181130287104 is an abundant number, since it is smaller than the sum of its proper divisors (403135336656).

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

181130287104 is an equidigital number, since it uses as much as digits as its factorization.

181130287104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28015 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 181130287104 in words is "one hundred eighty-one billion, one hundred thirty million, two hundred eighty-seven thousand, one hundred four".