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130112052 = 22372792801
BaseRepresentation
bin1111100000101…
…01101000110100
3100001211101011220
413300111220310
5231302041202
620524430340
73136635300
oct760255064
9301741156
10130112052
1167499124
12376a83b0
1320c577a5
14133ccd00
15b651abc
hex7c15a34

130112052 has 72 divisors (see below), whose sum is σ = 357759360. Its totient is φ = 36691200.

The previous prime is 130112041. The next prime is 130112063. The reversal of 130112052 is 250211031.

It is an interprime number because it is at equal distance from previous prime (130112041) and next prime (130112063).

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, 45052 + ... + 47852.

It is an arithmetic number, because the mean of its divisors is an integer number (4968880).

Almost surely, 2130112052 is an apocalyptic number.

130112052 is a gapful number since it is divisible by the number (12) 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 130112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178879680).

130112052 is an abundant number, since it is smaller than the sum of its proper divisors (227647308).

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

130112052 is a wasteful number, since it uses less digits than its factorization.

130112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 130112052 is about 11406.6669978570. Note that the first 3 decimals coincide. The cubic root of 130112052 is about 506.7252069556.

Adding to 130112052 its reverse (250211031), we get a palindrome (380323083).

The spelling of 130112052 in words is "one hundred thirty million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 2801 3318 3871 5602 6636 7742 8403 11204 11613 15484 16806 19607 23226 33612 39214 46452 58821 78428 117642 137249 221279 235284 274498 411747 442558 548996 663837 823494 885116 1327674 1548953 1646988 2655348 3097906 4646859 6195812 9293718 10842671 18587436 21685342 32528013 43370684 65056026 130112052