Search a number
-
+
2114134010 = 252379307379
BaseRepresentation
bin111111000000011…
…0001111111111010
312110100010010122122
41332000301333322
513312204242020
6545441121242
7103250562002
oct17600617772
95410103578
102114134010
1199541219a
124b0029222
13278cc9291
14160ac9002
15c590a125
hex7e031ffa

2114134010 has 64 divisors (see below), whose sum is σ = 4044902400. Its totient is φ = 793945152.

The previous prime is 2114134007. The next prime is 2114134027. The reversal of 2114134010 is 104314112.

It is a happy number.

It is a super-2 number, since 2×21141340102 = 8939125224477360200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114134010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5578001 + ... + 5578379.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 22114134010 is an apocalyptic number.

2114134010 is a deficient number, since it is larger than the sum of its proper divisors (1930768390).

2114134010 is a wasteful number, since it uses less digits than its factorization.

2114134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2114134010 is about 45979.7130265077. The cubic root of 2114134010 is about 1283.4457147139.

Adding to 2114134010 its reverse (104314112), we get a palindrome (2218448122).

The spelling of 2114134010 in words is "two billion, one hundred fourteen million, one hundred thirty-four thousand, ten".

Divisors: 1 2 5 10 23 46 79 115 158 230 307 379 395 614 758 790 1535 1817 1895 3070 3634 3790 7061 8717 9085 14122 17434 18170 24253 29941 35305 43585 48506 59882 70610 87170 116353 121265 149705 232706 242530 299410 557819 581765 688643 1115638 1163530 1377286 2676119 2789095 3443215 5352238 5578190 6886430 9191887 13380595 18383774 26761190 45959435 91918870 211413401 422826802 1057067005 2114134010