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2135314001205 = 325711616252237
BaseRepresentation
bin11111000100101010101…
…000011110110100110101
321120010121201000022211100
4133010222220132310311
5234441110341014310
64312541045400313
7310162033352220
oct37045250366465
97503551008740
102135314001205
117536440a4750
122a5a08409099
131264893583c8
14754c79d65b7
153a82761eec0
hex1f12aa1ed35

2135314001205 has 48 divisors (see below), whose sum is σ = 4614496758144. Its totient is φ = 887403219840.

The previous prime is 2135314001173. The next prime is 2135314001213. The reversal of 2135314001205 is 5021004135312.

2135314001205 is a `hidden beast` number, since 2 + 1 + 3 + 53 + 1 + 400 + 1 + 205 = 666.

It is not a de Polignac number, because 2135314001205 - 25 = 2135314001173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308122654 + ... + 308129583.

It is an arithmetic number, because the mean of its divisors is an integer number (96135349128).

Almost surely, 22135314001205 is an apocalyptic number.

It is an amenable number.

2135314001205 is an abundant number, since it is smaller than the sum of its proper divisors (2479182756939).

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

2135314001205 is a wasteful number, since it uses less digits than its factorization.

2135314001205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616252266 (or 616252263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2135314001205 its reverse (5021004135312), we get a palindrome (7156318136517).

The spelling of 2135314001205 in words is "two trillion, one hundred thirty-five billion, three hundred fourteen million, one thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 616252237 1848756711 3081261185 4313765659 5546270133 6778774607 9243783555 12941296977 20336323821 21568828295 27731350665 33893873035 38823890931 47451422249 61008971463 64706484885 101681619105 142354266747 194119454655 237257111245 305044857315 427062800241 711771333735 2135314001205