Search a number
-
+
2121141312 = 26323682537
BaseRepresentation
bin111111001101110…
…0000110001000000
312110211022010212100
41332123200301000
513321003010222
6550251230400
7103364255313
oct17633406100
95424263770
102121141312
11999368954
124b2448400
1327a5b0904
141619d097a
15c63414ac
hex7e6e0c40

2121141312 has 42 divisors (see below), whose sum is σ = 6079870238. Its totient is φ = 707046912.

The previous prime is 2121141307. The next prime is 2121141329. The reversal of 2121141312 is 2131411212.

2121141312 is a `hidden beast` number, since 212 + 1 + 141 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1696121856 + 425019456 = 41184^2 + 20616^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1840693 + ... + 1841844.

Almost surely, 22121141312 is an apocalyptic number.

It is an amenable number.

2121141312 is an abundant number, since it is smaller than the sum of its proper divisors (3958728926).

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

2121141312 is a wasteful number, since it uses less digits than its factorization.

2121141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682555 (or 3682542 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2121141312 is about 46055.8499215898. The cubic root of 2121141312 is about 1284.8621455269.

Adding to 2121141312 its reverse (2131411212), we get a palindrome (4252552524).

The spelling of 2121141312 in words is "two billion, one hundred twenty-one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3682537 7365074 11047611 14730148 22095222 29460296 33142833 44190444 58920592 66285666 88380888 117841184 132571332 176761776 235682368 265142664 353523552 530285328 707047104 1060570656 2121141312