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130801164 = 22313899421
BaseRepresentation
bin1111100101111…
…01111000001100
3100010010101110120
413302331320030
5231441114124
620551304540
73145535334
oct762757014
9303111416
10130801164
116791993a
123797b150
1321139350
141352c0c4
15b73ad79
hex7cbde0c

130801164 has 48 divisors (see below), whose sum is σ = 332408160. Its totient is φ = 39790080.

The previous prime is 130801157. The next prime is 130801217. The reversal of 130801164 is 461108031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9174 + ... + 18594.

It is an arithmetic number, because the mean of its divisors is an integer number (6925170).

Almost surely, 2130801164 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 130801164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166204080).

130801164 is an abundant number, since it is smaller than the sum of its proper divisors (201606996).

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

130801164 is a wasteful number, since it uses less digits than its factorization.

130801164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 130801164 is about 11436.8336527205. The cubic root of 130801164 is about 507.6182212229.

Adding to 130801164 its reverse (461108031), we get a palindrome (591909195).

The spelling of 130801164 in words is "one hundred thirty million, eight hundred one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3471 4628 6942 9421 13884 18842 28263 37684 56526 113052 122473 244946 367419 489892 734838 838469 1469676 1676938 2515407 3353876 5030814 10061628 10900097 21800194 32700291 43600388 65400582 130801164