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2135205171 = 331131722679
BaseRepresentation
bin111111101000100…
…1010010100110011
312111210202122212000
41333101022110303
513333103031141
6551512505043
7103624641651
oct17721122463
95453678760
102135205171
119a62a4280
124b70ab183
13280496118
14163811dd1
15c76bd5b6
hex7f44a533

2135205171 has 32 divisors (see below), whose sum is σ = 3461875200. Its totient is φ = 1289924640.

The previous prime is 2135205097. The next prime is 2135205187. The reversal of 2135205171 is 1715025312.

2135205171 is a `hidden beast` number, since 21 + 3 + 520 + 51 + 71 = 666.

It is not a de Polignac number, because 2135205171 - 211 = 2135203123 is a prime.

It is a super-2 number, since 2×21352051712 = 9118202244530278482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2135205571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82810 + ... + 105488.

It is an arithmetic number, because the mean of its divisors is an integer number (108183600).

Almost surely, 22135205171 is an apocalyptic number.

2135205171 is a deficient number, since it is larger than the sum of its proper divisors (1326670029).

2135205171 is a wasteful number, since it uses less digits than its factorization.

2135205171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23016 (or 23010 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2135205171 is about 46208.2803293955. The cubic root of 2135205171 is about 1287.6955776164.

The spelling of 2135205171 in words is "two billion, one hundred thirty-five million, two hundred five thousand, one hundred seventy-one".

Divisors: 1 3 9 11 27 33 99 297 317 951 2853 3487 8559 10461 22679 31383 68037 94149 204111 249469 612333 748407 2245221 6735663 7189243 21567729 64703187 79081673 194109561 237245019 711735057 2135205171