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14252000100 = 223521317412099
BaseRepresentation
bin11010100010111110…
…00100001101100100
31100210020122121201120
431101133010031210
5213142003000400
610314113453540
71013115000462
oct152137041544
940706577646
1014252000100
116053978688
122918b712b0
1314618a1a70
14992b53832
1558630eca0
hex3517c4364

14252000100 has 144 divisors (see below), whose sum is σ = 44454446400. Its totient is φ = 3504499200.

The previous prime is 14252000093. The next prime is 14252000123. The reversal of 14252000100 is 100025241.

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 14252000100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6788851 + ... + 6790949.

Almost surely, 214252000100 is an apocalyptic number.

14252000100 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 14252000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227223200).

14252000100 is an abundant number, since it is smaller than the sum of its proper divisors (30202446300).

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

14252000100 is a wasteful number, since it uses less digits than its factorization.

14252000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14252000100 its reverse (100025241), we get a palindrome (14352025341).

The spelling of 14252000100 in words is "fourteen billion, two hundred fifty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1741 1950 2099 3482 3900 4198 5223 6297 6964 8396 8705 10446 10495 12594 17410 20892 20990 22633 25188 26115 27287 31485 34820 41980 43525 45266 52230 52475 54574 62970 67899 81861 87050 90532 104460 104950 109148 113165 125940 130575 135798 136435 157425 163722 174100 209900 226330 261150 271596 272870 314850 327444 339495 409305 452660 522300 545740 565825 629700 678990 682175 818610 1131650 1357980 1364350 1637220 1697475 2046525 2263300 2728700 3394950 3654359 4093050 6789900 7308718 8186100 10963077 14617436 18271795 21926154 36543590 43852308 47506667 54815385 73087180 91358975 95013334 109630770 142520001 182717950 190026668 219261540 237533335 274076925 285040002 365435900 475066670 548153850 570080004 712600005 950133340 1096307700 1187666675 1425200010 2375333350 2850400020 3563000025 4750666700 7126000050 14252000100