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130416450241 = 7311127272171
BaseRepresentation
bin111100101110101101…
…1010001101011000001
3110110121221120002221211
41321131123101223001
54114043102401431
6135525033050121
712264561352000
oct1713533215301
9413557502854
10130416450241
1150344760390
1221338256941
13c3b52558ac
146452912c37
1535d46c62b1
hex1e5d6d1ac1

130416450241 has 32 divisors (see below), whose sum is σ = 167222476800. Its totient is φ = 100822654800.

The previous prime is 130416450221. The next prime is 130416450289. The reversal of 130416450241 is 142054614031.

It is not a de Polignac number, because 130416450241 - 25 = 130416450209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130416450221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343086 + ... + 615256.

It is an arithmetic number, because the mean of its divisors is an integer number (5225702400).

Almost surely, 2130416450241 is an apocalyptic number.

130416450241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130416450241 is a deficient number, since it is larger than the sum of its proper divisors (36806026559).

130416450241 is a wasteful number, since it uses less digits than its factorization.

130416450241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272330 (or 272316 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 130416450241 in words is "one hundred thirty billion, four hundred sixteen million, four hundred fifty thousand, two hundred forty-one".

Divisors: 1 7 11 49 77 127 343 539 889 1397 3773 6223 9779 43561 68453 272171 479171 1905197 2993881 13336379 20957167 34565717 93354653 146700169 241960019 380222887 1026901183 1693720133 2661560209 11856040931 18630921463 130416450241