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130107104 = 2541131757
BaseRepresentation
bin1111100000101…
…00011011100000
3100001211010101122
413300110123200
5231301411404
620524351412
73136615001
oct760243340
9301733348
10130107104
1167495436
12376a5568
1320c5546a
14133cb1a8
15b6503be
hex7c146e0

130107104 has 48 divisors (see below), whose sum is σ = 264748176. Its totient is φ = 62899200.

The previous prime is 130107091. The next prime is 130107143. The reversal of 130107104 is 401701031.

It is a super-2 number, since 2×1301071042 = 33855717022533632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171494 + ... + 172250.

It is an arithmetic number, because the mean of its divisors is an integer number (5515587).

Almost surely, 2130107104 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 130107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132374088).

130107104 is an abundant number, since it is smaller than the sum of its proper divisors (134641072).

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

130107104 is a wasteful number, since it uses less digits than its factorization.

130107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 130107104 is about 11406.4501050940. The cubic root of 130107104 is about 506.7187834971.

Adding to 130107104 its reverse (401701031), we get a palindrome (531808135).

The spelling of 130107104 in words is "one hundred thirty million, one hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 131 164 262 328 524 656 757 1048 1312 1514 2096 3028 4192 5371 6056 10742 12112 21484 24224 31037 42968 62074 85936 99167 124148 171872 198334 248296 396668 496592 793336 993184 1586672 3173344 4065847 8131694 16263388 32526776 65053552 130107104