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243007100313150 = 2352475310310759011
BaseRepresentation
bin110111010000001101111111…
…111001000101111000111110
31011212102020210122022121220010
4313100031333321011320332
5223322412020140010100
62220455530513404050
7102120453324323025
oct6720157771057076
91155366718277803
10243007100313150
117047a806a43498
12233084a2269626
13a5796183b2664
14440186bdc58bc
151d1628ba31750
hexdd037fe45e3e

243007100313150 has 384 divisors, whose sum is σ = 639109636079616. Its totient is φ = 61045382361600.

The previous prime is 243007100313143. The next prime is 243007100313161. The reversal of 243007100313150 is 51313001700342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4117967145 + ... + 4118026155.

It is an arithmetic number, because the mean of its divisors is an integer number (1664348010624).

Almost surely, 2243007100313150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243007100313150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319554818039808).

243007100313150 is an abundant number, since it is smaller than the sum of its proper divisors (396102535766466).

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

243007100313150 is a wasteful number, since it uses less digits than its factorization.

243007100313150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59331 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 243007100313150 in words is "two hundred forty-three trillion, seven billion, one hundred million, three hundred thirteen thousand, one hundred fifty".