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14101302120 = 23351715534451
BaseRepresentation
bin11010010001000000…
…01100101101101000
31100101202002100221220
431020200030231220
5212334413131440
610251131502040
71006305042663
oct151040145550
940352070856
1014101302120
115a868a9aa4
1228965b7920
1314395ba269
1497ab266da
15577e938d0
hex34880cb68

14101302120 has 128 divisors (see below), whose sum is σ = 44831283840. Its totient is φ = 3536076800.

The previous prime is 14101302109. The next prime is 14101302161. The reversal of 14101302120 is 2120310141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14101302120.

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 31 ways as a sum of consecutive naturals, for example, 3165895 + ... + 3170345.

It is an arithmetic number, because the mean of its divisors is an integer number (350244405).

Almost surely, 214101302120 is an apocalyptic number.

14101302120 is a gapful number since it is divisible by the number (10) 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 14101302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22415641920).

14101302120 is an abundant number, since it is smaller than the sum of its proper divisors (30729981720).

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

14101302120 is a wasteful number, since it uses less digits than its factorization.

14101302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 6031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14101302120 its reverse (2120310141), we get a palindrome (16221612261).

The spelling of 14101302120 in words is "fourteen billion, one hundred one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1553 2040 3106 4451 4659 6212 7765 8902 9318 12424 13353 15530 17804 18636 22255 23295 26401 26706 31060 35608 37272 44510 46590 52802 53412 62120 66765 75667 79203 89020 93180 105604 106824 132005 133530 151334 158406 178040 186360 211208 227001 264010 267060 302668 316812 378335 396015 454002 528020 534120 605336 633624 756670 792030 908004 1056040 1135005 1513340 1584060 1816008 2270010 3026680 3168120 4540020 6912403 9080040 13824806 20737209 27649612 34562015 41474418 55299224 69124030 82948836 103686045 117510851 138248060 165897672 207372090 235021702 276496120 352532553 414744180 470043404 587554255 705065106 829488360 940086808 1175108510 1410130212 1762662765 2350217020 2820260424 3525325530 4700434040 7050651060 14101302120