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13123113132300 = 22352238918310469
BaseRepresentation
bin1011111011110111011001…
…1111110010000100001100
31201110120001022120122110020
42332331312133302010030
53210002113430213200
643524401442142140
72523053656065303
oct276756637620414
951416038518406
1013123113132300
1141aa532276226
12157b420051950
13742672b17cb2
1433523a9c343a
1517b567acbea0
hexbef767f210c

13123113132300 has 72 divisors (see below), whose sum is σ = 37985436224400. Its totient is φ = 3498031806720.

The previous prime is 13123113132289. The next prime is 13123113132307. The reversal of 13123113132300 is 323131132131.

It is not an unprimeable number, because it can be changed into a prime (13123113132307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8438535 + ... + 9871934.

Almost surely, 213123113132300 is an apocalyptic number.

13123113132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123113132300 is an abundant number, since it is smaller than the sum of its proper divisors (24862323092100).

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

13123113132300 is a wasteful number, since it uses less digits than its factorization.

13123113132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18312875 (or 18312868 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13123113132300 its reverse (323131132131), we get a palindrome (13446244264431).

The spelling of 13123113132300 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2389 4778 7167 9556 11945 14334 23890 28668 35835 47780 59725 71670 119450 143340 179175 238900 358350 716700 18310469 36620938 54931407 73241876 91552345 109862814 183104690 219725628 274657035 366209380 457761725 549314070 915523450 1098628140 1373285175 1831046900 2746570350 5493140700 43743710441 87487420882 131231131323 174974841764 218718552205 262462262646 437437104410 524924525292 656155656615 874874208820 1093592761025 1312311313230 2187185522050 2624622626460 3280778283075 4374371044100 6561556566150 13123113132300