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130122432 = 26321121867
BaseRepresentation
bin1111100000110…
…00001011000000
3100001211220102100
413300120023000
5231302404212
620524550400
73140010456
oct760301300
9301756370
10130122432
11674a5a00
12376b2400
1320c5c42b
14133d29d6
15b654bdc
hex7c182c0

130122432 has 126 divisors (see below), whose sum is σ = 410181044. Its totient is φ = 39409920.

The previous prime is 130122413. The next prime is 130122467. The reversal of 130122432 is 234221031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68763 + ... + 70629.

Almost surely, 2130122432 is an apocalyptic number.

130122432 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 130122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205090522).

130122432 is an abundant number, since it is smaller than the sum of its proper divisors (280058612).

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

130122432 is a wasteful number, since it uses less digits than its factorization.

130122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130122432 is about 11407.1219858473. The cubic root of 130122432 is about 506.7386816689.

Adding to 130122432 its reverse (234221031), we get a palindrome (364343463).

The spelling of 130122432 in words is "one hundred thirty million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1867 1936 2112 2178 2904 3168 3734 3872 4356 5601 5808 6336 7468 7744 8712 11202 11616 14936 16803 17424 20537 22404 23232 29872 33606 34848 41074 44808 59744 61611 67212 69696 82148 89616 119488 123222 134424 164296 179232 184833 225907 246444 268848 328592 358464 369666 451814 492888 537696 657184 677721 739332 903628 985776 1075392 1314368 1355442 1478664 1807256 1971552 2033163 2710884 2957328 3614512 3943104 4066326 5421768 5914656 7229024 8132652 10843536 11829312 14458048 16265304 21687072 32530608 43374144 65061216 130122432