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2135400012 = 2232509911633
BaseRepresentation
bin111111101000111…
…1001111001001100
312111211010120010100
41333101321321030
513333130300022
6551521011100
7103626413004
oct17721717114
95454116110
102135400012
119a64176a9
124b7183a90
13280533a05
14163863004
15c770b1ac
hex7f479e4c

2135400012 has 36 divisors (see below), whose sum is σ = 5399339400. Its totient is φ = 711599232.

The previous prime is 2135399993. The next prime is 2135400019. The reversal of 2135400012 is 2100045312.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21354000122 = 9119866422499200288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2135400019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177748 + ... + 189380.

It is an arithmetic number, because the mean of its divisors is an integer number (149981650).

Almost surely, 22135400012 is an apocalyptic number.

It is an amenable number.

2135400012 is an abundant number, since it is smaller than the sum of its proper divisors (3263939388).

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

2135400012 is a wasteful number, since it uses less digits than its factorization.

2135400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2135400012 is about 46210.3885722680. The cubic root of 2135400012 is about 1287.7347445415.

Adding to 2135400012 its reverse (2100045312), we get a palindrome (4235445324).

The spelling of 2135400012 in words is "two billion, one hundred thirty-five million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5099 10198 11633 15297 20396 23266 30594 34899 45891 46532 61188 69798 91782 104697 139596 183564 209394 418788 59316667 118633334 177950001 237266668 355900002 533850003 711800004 1067700006 2135400012