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14122332300 = 22352537911243
BaseRepresentation
bin11010010011100000…
…11011000010001100
31100110012122210221110
431021300123002030
5212410304113200
610253202332020
71006651562316
oct151160330214
940405583843
1014122332300
115a9776330a
1228a165a010
131440a7155b
1497d83c7b6
15579c49b50
hex349c1b08c

14122332300 has 144 divisors (see below), whose sum is σ = 42162301440. Its totient is φ = 3647804160.

The previous prime is 14122332283. The next prime is 14122332347. The reversal of 14122332300 is 323322141.

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, 1250479 + ... + 1261721.

It is an arithmetic number, because the mean of its divisors is an integer number (292793760).

Almost surely, 214122332300 is an apocalyptic number.

14122332300 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 14122332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081150720).

14122332300 is an abundant number, since it is smaller than the sum of its proper divisors (28039969140).

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

14122332300 is a wasteful number, since it uses less digits than its factorization.

14122332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14122332300 its reverse (323322141), we get a palindrome (14445654441).

The spelling of 14122332300 in words is "fourteen billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 79 100 106 150 158 159 212 237 265 300 316 318 395 474 530 636 790 795 948 1060 1185 1325 1580 1590 1975 2370 2650 3180 3950 3975 4187 4740 5300 5925 7900 7950 8374 11243 11850 12561 15900 16748 20935 22486 23700 25122 33729 41870 44972 50244 56215 62805 67458 83740 104675 112430 125610 134916 168645 209350 224860 251220 281075 314025 337290 418700 562150 595879 628050 674580 843225 888197 1124300 1191758 1256100 1686450 1776394 1787637 2383516 2664591 2979395 3372900 3552788 3575274 4440985 5329182 5958790 7150548 8881970 8938185 10658364 11917580 13322955 14896975 17763940 17876370 22204925 26645910 29793950 35752740 44409850 44690925 47074441 53291820 59587900 66614775 88819700 89381850 94148882 133229550 141223323 178763700 188297764 235372205 266459100 282446646 470744410 564893292 706116615 941488820 1176861025 1412233230 2353722050 2824466460 3530583075 4707444100 7061166150 14122332300