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14300022100 = 22527133374663
BaseRepresentation
bin11010101000101100…
…10000010101010100
31100220121000101112011
431110112100111110
5213241301201400
610322551034004
71014240116350
oct152426202524
940817011464
1014300022100
116078a98291
12293106b904
13146b816a50
14999294460
1558a6488ba
hex354590554

14300022100 has 144 divisors (see below), whose sum is σ = 38313603328. Its totient is φ = 4511324160.

The previous prime is 14300022059. The next prime is 14300022101. The reversal of 14300022100 is 122000341.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064369 + ... + 3069031.

Almost surely, 214300022100 is an apocalyptic number.

14300022100 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 14300022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156801664).

14300022100 is an abundant number, since it is smaller than the sum of its proper divisors (24013581228).

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

14300022100 is a wasteful number, since it uses less digits than its factorization.

14300022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 14300022100 its reverse (122000341), we get a palindrome (14422022441).

The spelling of 14300022100 in words is "fourteen billion, three hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 337 350 364 455 650 674 700 910 1300 1348 1685 1820 2275 2359 3370 4381 4550 4663 4718 6740 8425 8762 9100 9326 9436 11795 16850 17524 18652 21905 23315 23590 30667 32641 33700 43810 46630 47180 58975 60619 61334 65282 87620 93260 109525 116575 117950 121238 122668 130564 153335 163205 219050 233150 235900 242476 303095 306670 326410 424333 438100 466300 606190 613340 652820 766675 816025 848666 1212380 1515475 1533350 1571431 1632050 1697332 2121665 3030950 3066700 3142862 3264100 4243330 6061900 6285724 7857155 8486660 10608325 11000017 15714310 20428603 21216650 22000034 31428620 39285775 40857206 42433300 44000068 55000085 78571550 81714412 102143015 110000170 143000221 157143100 204286030 220000340 275000425 286000442 408572060 510715075 550000850 572000884 715001105 1021430150 1100001700 1430002210 2042860300 2860004420 3575005525 7150011050 14300022100