Search a number
-
+
2133956121 = 311238315349
BaseRepresentation
bin111111100110001…
…1001011000011001
312111201102012110220
41333030121120121
513332243043441
6551430030253
7103611220263
oct17714313031
95451365426
102133956121
119a5620900
124b67a8389
1328014973b
141635a8b33
15c7523466
hex7f319619

2133956121 has 24 divisors (see below), whose sum is σ = 3135820800. Its totient is φ = 1289845920.

The previous prime is 2133956057. The next prime is 2133956159. The reversal of 2133956121 is 1216593312.

It is not a de Polignac number, because 2133956121 - 26 = 2133956057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2133956171) 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 23 ways as a sum of consecutive naturals, for example, 131355 + ... + 146703.

It is an arithmetic number, because the mean of its divisors is an integer number (130659200).

Almost surely, 22133956121 is an apocalyptic number.

It is an amenable number.

2133956121 is a deficient number, since it is larger than the sum of its proper divisors (1001864679).

2133956121 is a wasteful number, since it uses less digits than its factorization.

2133956121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15757 (or 15746 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 2133956121 is about 46194.7629174563. The cubic root of 2133956121 is about 1287.4444370530. Note that the first 4 decimals are identical.

The spelling of 2133956121 in words is "two billion, one hundred thirty-three million, nine hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 363 383 1149 4213 12639 15349 46047 46343 139029 168839 506517 1857229 5571687 5878667 17636001 64665337 193996011 711318707 2133956121