Search a number
-
+
369309612001 = 11714014212801
BaseRepresentation
bin1010101111111001001…
…00010111011111100001
31022022020211012010022211
411113330210113133201
522022321230041001
6441354122402121
735452556623111
oct5277444273741
91268224163284
10369309612001
11132694714680
125b6a9060341
1328a97220c45
1413c361a3041
15991739a351
hex55fc9177e1

369309612001 has 32 divisors (see below), whose sum is σ = 410695909632. Its totient is φ = 329280000000.

The previous prime is 369309611999. The next prime is 369309612017. The reversal of 369309612001 is 100216903963.

It is a 3-Lehmer number, since φ(369309612001) divides (369309612001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 369309612001 - 21 = 369309611999 is a prime.

It is a deceptive number, since it divides R369309612000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (369309612031) 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 31 ways as a sum of consecutive naturals, for example, 131847801 + ... + 131850601.

It is an arithmetic number, because the mean of its divisors is an integer number (12834247176).

It is a Poulet number, since it divides 2369309612000-1.

Almost surely, 2369309612001 is an apocalyptic number.

369309612001 is the 271776-th centered decagonal number.

It is an amenable number.

369309612001 is a deficient number, since it is larger than the sum of its proper divisors (41386297631).

369309612001 is a wasteful number, since it uses less digits than its factorization.

369309612001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 369309612001 in words is "three hundred sixty-nine billion, three hundred nine million, six hundred twelve thousand, one".

Divisors: 1 11 71 401 421 781 2801 4411 4631 28471 29891 30811 168821 198871 313181 328801 1123201 1179221 1857031 2187581 11986291 12355211 12971431 79747271 83724691 131849201 472867621 877219981 920971601 5201543831 33573601091 369309612001