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13234736300 = 2252178299391
BaseRepresentation
bin11000101001101101…
…00000110010101100
31021011100111021010112
430110312200302230
5204101043030200
610025134155152
7645653255012
oct142466406254
937140437115
1013234736300
1156817332a5
122694352ab8
13132bbcba16
148d79d08b2
15526d6d535
hex314da0cac

13234736300 has 72 divisors (see below), whose sum is σ = 30448676160. Its totient is φ = 4975948800.

The previous prime is 13234736267. The next prime is 13234736303. The reversal of 13234736300 is 363743231.

It is not an unprimeable number, because it can be changed into a prime (13234736303) 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, 1404605 + ... + 1413995.

It is an arithmetic number, because the mean of its divisors is an integer number (422898280).

Almost surely, 213234736300 is an apocalyptic number.

13234736300 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 13234736300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224338080).

13234736300 is an abundant number, since it is smaller than the sum of its proper divisors (17213939860).

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

13234736300 is a wasteful number, since it uses less digits than its factorization.

13234736300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 32.

The spelling of 13234736300 in words is "thirteen billion, two hundred thirty-four million, seven hundred thirty-six thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 829 850 1658 1700 3316 4145 8290 9391 14093 16580 18782 20725 28186 37564 41450 46955 56372 70465 82900 93910 140930 159647 187820 234775 281860 319294 352325 469550 638588 704650 798235 939100 1409300 1596470 3192940 3991175 7785139 7982350 15570278 15964700 31140556 38925695 77851390 132347363 155702780 194628475 264694726 389256950 529389452 661736815 778513900 1323473630 2646947260 3308684075 6617368150 13234736300