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4313400012200 = 235273450765551
BaseRepresentation
bin111110110001001010101…
…011001110110110101000
3120021100122021002212201102
4332301022223032312220
51031132320400342300
613101314255540532
7623430034105436
oct76611253166650
916240567085642
104313400012200
111413336947414
12597b70b2a748
132539a0b43036
1410caabdb5d56
1577304c830d5
hex3ec4aaceda8

4313400012200 has 96 divisors (see below), whose sum is σ = 10168444594560. Its totient is φ = 1701321408000.

The previous prime is 4313400012193. The next prime is 4313400012203. The reversal of 4313400012200 is 22100043134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4313400012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65769425 + ... + 65834975.

It is an arithmetic number, because the mean of its divisors is an integer number (105921297860).

Almost surely, 24313400012200 is an apocalyptic number.

4313400012200 is a gapful number since it is divisible by the number (40) 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 4313400012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084222297280).

4313400012200 is an abundant number, since it is smaller than the sum of its proper divisors (5855044582360).

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

4313400012200 is a wasteful number, since it uses less digits than its factorization.

4313400012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70147 (or 70138 counting only the distinct ones).

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

Adding to 4313400012200 its reverse (22100043134), we get a palindrome (4335500055334).

The spelling of 4313400012200 in words is "four trillion, three hundred thirteen billion, four hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 4507 7300 9014 14600 18028 22535 36056 45070 65551 90140 112675 131102 180280 225350 262204 327755 329011 450700 524408 655510 658022 901400 1311020 1316044 1638775 1645055 2622040 2632088 3277550 3290110 4785223 6555100 6580220 8225275 9570446 13110200 13160440 16450550 19140892 23926115 32901100 38281784 47852230 65802200 95704460 119630575 191408920 239261150 295438357 478522300 590876714 957044600 1181753428 1477191785 2363506856 2954383570 5908767140 7385958925 11817534280 14771917850 21567000061 29543835700 43134000122 59087671400 86268000244 107835000305 172536000488 215670000610 431340001220 539175001525 862680002440 1078350003050 2156700006100 4313400012200