Search a number
-
+
2121162160 = 245132039579
BaseRepresentation
bin111111001101110…
…0101110110110000
312110211100012110111
41332123211312300
513321004142120
6550251511104
7103364403145
oct17633456660
95424305414
102121162160
11999382587
124b2458494
1327a5ba250
141619d83cc
15c634775a
hex7e6e5db0

2121162160 has 40 divisors (see below), whose sum is σ = 5311066320. Its totient is φ = 783197952.

The previous prime is 2121162157. The next prime is 2121162163. The reversal of 2121162160 is 612611212.

It is an interprime number because it is at equal distance from previous prime (2121162157) and next prime (2121162163).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2121162163) 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 7 ways as a sum of consecutive naturals, for example, 1018750 + ... + 1020829.

It is an arithmetic number, because the mean of its divisors is an integer number (132776658).

Almost surely, 22121162160 is an apocalyptic number.

2121162160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121162160 is an abundant number, since it is smaller than the sum of its proper divisors (3189904160).

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

2121162160 is a wasteful number, since it uses less digits than its factorization.

2121162160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039605 (or 2039599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2121162160 is about 46056.0762549308. The cubic root of 2121162160 is about 1284.8663550088.

Adding to 2121162160 its reverse (612611212), we get a palindrome (2733773372).

The spelling of 2121162160 in words is "two billion, one hundred twenty-one million, one hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2039579 4079158 8158316 10197895 16316632 20395790 26514527 32633264 40791580 53029054 81583160 106058108 132572635 163166320 212116216 265145270 424232432 530290540 1060581080 2121162160