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13434101821 = 737385113469
BaseRepresentation
bin11001000001011110…
…00010000000111101
31021200020122002012201
430200233002000331
5210003112224241
610101015231501
7653623660420
oct144057020075
937606562181
1013434101821
115774222598
12272b078591
1313612c329a
149162899b7
155395ee931
hex320bc203d

13434101821 has 16 divisors (see below), whose sum is σ = 15773477760. Its totient is φ = 11199988800.

The previous prime is 13434101773. The next prime is 13434101843. The reversal of 13434101821 is 12810143431.

It is not a de Polignac number, because 13434101821 - 27 = 13434101693 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13434101821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434101881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990675 + ... + 1004143.

It is an arithmetic number, because the mean of its divisors is an integer number (985842360).

Almost surely, 213434101821 is an apocalyptic number.

It is an amenable number.

13434101821 is a deficient number, since it is larger than the sum of its proper divisors (2339375939).

13434101821 is a wasteful number, since it uses less digits than its factorization.

13434101821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17364.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 13434101821 in words is "thirteen billion, four hundred thirty-four million, one hundred one thousand, eight hundred twenty-one".

Divisors: 1 7 37 259 3851 13469 26957 94283 142487 498353 997409 3488471 51869119 363083833 1919157403 13434101821