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13123341142200 = 2332527290745079
BaseRepresentation
bin1011111011111000010000…
…0101100100100010111000
31201110120122012121202020100
42332332010011210202320
53210003100313022300
643524440225155400
72523062425122222
oct276760405444270
951416565552210
1013123341142200
1141aa639a4a463
12157b48448bb60
137426ab12b4b3
1433525cdb7412
1517b57cb1a700
hexbef841648b8

13123341142200 has 72 divisors (see below), whose sum is σ = 44072554008600. Its totient is φ = 3499557637440.

The previous prime is 13123341142181. The next prime is 13123341142211. The reversal of 13123341142200 is 224114332131.

13123341142200 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 3 + 411 + 42 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3645370740 + ... + 3645374339.

It is an arithmetic number, because the mean of its divisors is an integer number (612118805675).

Almost surely, 213123341142200 is an apocalyptic number.

13123341142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123341142200 is an abundant number, since it is smaller than the sum of its proper divisors (30949212866400).

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

13123341142200 is a wasteful number, since it uses less digits than its factorization.

13123341142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290745101 (or 7290745089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13123341142200 its reverse (224114332131), we get a palindrome (13347455474331).

The spelling of 13123341142200 in words is "thirteen trillion, one hundred twenty-three billion, three hundred forty-one million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7290745079 14581490158 21872235237 29162980316 36453725395 43744470474 58325960632 65616705711 72907450790 87488940948 109361176185 131233411422 145814901580 174977881896 182268626975 218722352370 262466822844 291629803160 328083528555 364537253950 437444704740 524933645688 546805880925 656167057110 729074507900 874889409480 1093611761850 1312334114220 1458149015800 1640417642775 2187223523700 2624668228440 3280835285550 4374447047400 6561670571100 13123341142200