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14114233100 = 22521121160811
BaseRepresentation
bin11010010010100011…
…00001101100001100
31100102122102022221002
431021101201230030
5212401220424400
610252312555432
71006523000432
oct151121415414
940378368832
1014114233100
115a93131260
12289a9b2b78
13143c196c26
1497c730d52
15579199ed5
hex349461b0c

14114233100 has 72 divisors (see below), whose sum is σ = 33571142976. Its totient is φ = 5108040000.

The previous prime is 14114233099. The next prime is 14114233123. The reversal of 14114233100 is 133241141.

It is a super-2 number, since 2×141142331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201695 + ... + 262505.

Almost surely, 214114233100 is an apocalyptic number.

14114233100 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 14114233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785571488).

14114233100 is an abundant number, since it is smaller than the sum of its proper divisors (19456909876).

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

14114233100 is a wasteful number, since it uses less digits than its factorization.

14114233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61047 (or 61040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14114233100 its reverse (133241141), we get a palindrome (14247474241).

It can be divided in two parts, 141 and 14233100, that added together give a palindrome (14233241).

The spelling of 14114233100 in words is "fourteen billion, one hundred fourteen million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5275 9284 10550 11605 21100 23210 46420 58025 60811 116050 121622 232100 243244 304055 608110 668921 1216220 1337842 1520275 2675684 3040550 3344605 6081100 6689210 12831121 13378420 16723025 25662242 33446050 51324484 64155605 66892100 128311210 141142331 256622420 282284662 320778025 564569324 641556050 705711655 1283112100 1411423310 2822846620 3528558275 7057116550 14114233100