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130012344 = 23337117817
BaseRepresentation
bin1111011111111…
…01010010111000
3100001122022102000
413233331102320
5231240343334
620522341000
73136041510
oct757752270
9301568360
10130012344
1167430220
123765a760
1320c212a7
14133a4840
15b632299
hex7bfd4b8

130012344 has 128 divisors (see below), whose sum is σ = 450316800. Its totient is φ = 33765120.

The previous prime is 130012303. The next prime is 130012373. The reversal of 130012344 is 443210031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12724 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (3518100).

Almost surely, 2130012344 is an apocalyptic number.

130012344 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 130012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225158400).

130012344 is an abundant number, since it is smaller than the sum of its proper divisors (320304456).

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

130012344 is a wasteful number, since it uses less digits than its factorization.

130012344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7850 (or 7840 counting only the distinct ones).

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

The square root of 130012344 is about 11402.2955583514. The cubic root of 130012344 is about 506.5957352996.

Adding to 130012344 its reverse (443210031), we get a palindrome (573222375).

The spelling of 130012344 in words is "one hundred thirty million, twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 7817 8316 15634 16632 23451 31268 46902 54719 62536 70353 85987 93804 109438 140706 164157 171974 187608 211059 218876 257961 281412 328314 343948 422118 437752 492471 515922 562824 601909 656628 687896 773883 844236 984942 1031844 1203818 1313256 1477413 1547766 1688472 1805727 1969884 2063688 2321649 2407636 2954826 3095532 3611454 3939768 4643298 4815272 5417181 5909652 6191064 7222908 9286596 10834362 11819304 14445816 16251543 18573192 21668724 32503086 43337448 65006172 130012344