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13141412130 = 23571119299417
BaseRepresentation
bin11000011110100101…
…00000100100100010
31020220211212220102210
430033102200210202
5203403200142010
610012002022550
7643441105620
oct141722404442
936824786383
1013141412130
115633a91490
122669047a56
131315784a12
148c945a510
1551da86b20
hex30f4a0922

13141412130 has 128 divisors (see below), whose sum is σ = 41391544320. Its totient is φ = 2586954240.

The previous prime is 13141412129. The next prime is 13141412159. The reversal of 13141412130 is 3121414131.

It is a super-2 number, since 2×131414121302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13141412097 and 13141412106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 105819 + ... + 193598.

It is an arithmetic number, because the mean of its divisors is an integer number (323371440).

Almost surely, 213141412130 is an apocalyptic number.

13141412130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141412130 is an abundant number, since it is smaller than the sum of its proper divisors (28250132190).

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

13141412130 is a wasteful number, since it uses less digits than its factorization.

13141412130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299464.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13141412130 its reverse (3121414131), we get a palindrome (16262826261).

The spelling of 13141412130 in words is "thirteen billion, one hundred forty-one million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1254 1330 1463 1995 2090 2310 2926 3135 3990 4389 6270 7315 8778 14630 21945 43890 299417 598834 898251 1497085 1796502 2095919 2994170 3293587 4191838 4491255 5688923 6287757 6587174 8982510 9880761 10479595 11377846 12575514 16467935 17066769 19761522 20959190 23055109 28444615 31438785 32935870 34133538 39822461 46110218 49403805 56889230 62578153 62877570 69165327 79644922 85333845 98807610 115275545 119467383 125156306 138330654 170667690 187734459 199112305 230551090 238934766 312890765 345826635 375468918 398224610 438047071 597336915 625781530 691653270 876094142 938672295 1194673830 1314141213 1877344590 2190235355 2628282426 4380470710 6570706065 13141412130