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130365423104 = 2971093071087
BaseRepresentation
bin111100101101001100…
…0100111111000000000
3110110111101112122212212
41321122120213320000
54113442022014404
6135520011241252
712263401545560
oct1713230477000
9413441478785
10130365423104
11503189789a4
1221323149228
13c3a77cab17
146449c2cda0
1535cee9706e
hex1e5a627e00

130365423104 has 160 divisors (see below), whose sum is σ = 301674024960. Its totient is φ = 55127236608.

The previous prime is 130365423103. The next prime is 130365423109. The reversal of 130365423104 is 401324563031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130365423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119930849 + ... + 119931935.

It is an arithmetic number, because the mean of its divisors is an integer number (1885462656).

Almost surely, 2130365423104 is an apocalyptic number.

130365423104 is a gapful number since it is divisible by the number (14) 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 130365423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150837012480).

130365423104 is an abundant number, since it is smaller than the sum of its proper divisors (171308601856).

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

130365423104 is a wasteful number, since it uses less digits than its factorization.

130365423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 130365423104 its reverse (401324563031), we get a palindrome (531689986135).

The spelling of 130365423104 in words is "one hundred thirty billion, three hundred sixty-five million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 256 307 436 448 512 614 763 872 896 1087 1228 1526 1744 1792 2149 2174 2456 3052 3488 3584 4298 4348 4912 6104 6976 7609 8596 8696 9824 12208 13952 15218 17192 17392 19648 24416 27904 30436 33463 34384 34784 39296 48832 55808 60872 66926 68768 69568 78592 97664 118483 121744 133852 137536 139136 157184 195328 234241 236966 243488 267704 275072 278272 333709 390656 468482 473932 486976 535408 550144 556544 667418 829381 936964 947864 973952 1070816 1100288 1334836 1658762 1873928 1895728 1947904 2141632 2335963 2669672 3317524 3747856 3791456 3895808 4283264 4671926 5339344 6635048 7495712 7582912 8566528 9343852 10678688 13270096 14991424 15165824 17133056 18687704 21357376 26540192 29982848 30331648 36374281 37375408 42714752 53080384 59965696 60663296 72748562 74750816 85429504 106160768 119931392 145497124 149501632 170859008 212321536 254619967 290994248 299003264 424643072 509239934 581988496 598006528 1018479868 1163976992 1196013056 2036959736 2327953984 4073919472 4655907968 8147838944 9311815936 16295677888 18623631872 32591355776 65182711552 130365423104