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130031052 = 223232511877
BaseRepresentation
bin1111100000000…
…01110111001100
3100001200021001220
413300001313030
5231241443202
620523003340
73136150164
oct760016714
9301607056
10130031052
1167443288
1237669550
1320c29968
14133ab5a4
15b637abc
hex7c01dcc

130031052 has 48 divisors (see below), whose sum is σ = 318028032. Its totient is φ = 41272000.

The previous prime is 130031051. The next prime is 130031053. The reversal of 130031052 is 250130031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130031051) and next prime (130031053).

It is not an unprimeable number, because it can be changed into a prime (130031051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68338 + ... + 70214.

It is an arithmetic number, because the mean of its divisors is an integer number (6625584).

Almost surely, 2130031052 is an apocalyptic number.

130031052 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 130031052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159014016).

130031052 is an abundant number, since it is smaller than the sum of its proper divisors (187996980).

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

130031052 is a wasteful number, since it uses less digits than its factorization.

130031052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130031052 is about 11403.1158899662. The cubic root of 130031052 is about 506.6200328347.

Adding to 130031052 its reverse (250130031), we get a palindrome (380161083).

The spelling of 130031052 in words is "one hundred thirty million, thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1506 1877 3012 3754 5631 5773 7508 11262 11546 17319 22524 23092 34638 43171 69276 86342 129513 172684 259026 471127 518052 942254 1413381 1884508 2826762 5653524 10835921 21671842 32507763 43343684 65015526 130031052