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130122132 = 223723471433
BaseRepresentation
bin1111100000110…
…00000110010100
3100001211220000020
413300120012110
5231302402012
620524545140
73140006550
oct760300624
9301756006
10130122132
11674a5758
12376b21b0
1320c5c25a
14133d2860
15b654a8c
hex7c18194

130122132 has 96 divisors (see below), whose sum is σ = 370040832. Its totient is φ = 34780416.

The previous prime is 130122121. The next prime is 130122133. The reversal of 130122132 is 231221031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90088 + ... + 91520.

It is an arithmetic number, because the mean of its divisors is an integer number (3854592).

Almost surely, 2130122132 is an apocalyptic number.

130122132 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 130122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185020416).

130122132 is an abundant number, since it is smaller than the sum of its proper divisors (239918700).

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

130122132 is a wasteful number, since it uses less digits than its factorization.

130122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130122132 is about 11407.1088361600. The cubic root of 130122132 is about 506.7382922363.

Adding to 130122132 its reverse (231221031), we get a palindrome (361343163).

The spelling of 130122132 in words is "one hundred thirty million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 47 69 84 92 94 138 141 161 188 276 282 322 329 483 564 644 658 966 987 1081 1316 1433 1932 1974 2162 2866 3243 3948 4299 4324 5732 6486 7567 8598 10031 12972 15134 17196 20062 22701 30093 30268 32959 40124 45402 60186 65918 67351 90804 98877 120372 131836 134702 197754 202053 230713 269404 395508 404106 461426 471457 692139 808212 922852 942914 1384278 1414371 1549073 1885828 2768556 2828742 3098146 4647219 5657484 6196292 9294438 10843511 18588876 21687022 32530533 43374044 65061066 130122132