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14204323100 = 22521122414871
BaseRepresentation
bin11010011101010010…
…01100010100011100
31100122220221101011202
431032221030110130
5213042301314400
610305251535032
71011665516462
oct151651142434
940586841152
1014204323100
116029a74200
122904bba478
131454a4ab16
1498a6a2832
155820434d5
hex34ea4c51c

14204323100 has 108 divisors (see below), whose sum is σ = 34027811664. Its totient is φ = 5142720000.

The previous prime is 14204323073. The next prime is 14204323121. The reversal of 14204323100 is 132340241.

It is a super-2 number, since 2×142043231002 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2913665 + ... + 2918535.

Almost surely, 214204323100 is an apocalyptic number.

14204323100 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 14204323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013905832).

14204323100 is an abundant number, since it is smaller than the sum of its proper divisors (19823488564).

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

14204323100 is a wasteful number, since it uses less digits than its factorization.

14204323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14204323100 its reverse (132340241), we get a palindrome (14336663341).

The spelling of 14204323100 in words is "fourteen billion, two hundred four million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 241 242 275 482 484 550 605 964 1100 1205 1210 2410 2420 2651 3025 4820 4871 5302 6025 6050 9742 10604 12050 12100 13255 19484 24100 24355 26510 29161 48710 53020 53581 58322 66275 97420 107162 116644 121775 132550 145805 214324 243550 265100 267905 291610 487100 535810 583220 589391 729025 1071620 1173911 1178782 1339525 1458050 2347822 2357564 2679050 2916100 2946955 4695644 5358100 5869555 5893910 11739110 11787820 12913021 14734775 23478220 25826042 29347775 29469550 51652084 58695550 58939100 64565105 117391100 129130210 142043231 258260420 284086462 322825525 568172924 645651050 710216155 1291302100 1420432310 2840864620 3551080775 7102161550 14204323100