Search a number
-
+
2130031121 = 29123759377
BaseRepresentation
bin111111011110101…
…1011001000010001
312111110000210101112
41332331123020101
513330241443441
6551205543105
7103532652161
oct17675331021
95443023345
102130031121
119a338a9a9
124b5414a95
1327c3a405a
14162c665a1
15c6eea4eb
hex7ef5b211

2130031121 has 8 divisors (see below), whose sum is σ = 2205298920. Its totient is φ = 2054884608.

The previous prime is 2130031093. The next prime is 2130031153. The reversal of 2130031121 is 1211300312.

It can be written as a sum of positive squares in 4 ways, for example, as 1060414096 + 1069617025 = 32564^2 + 32705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-2130031121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2130031096 and 2130031105.

It is not an unprimeable number, because it can be changed into a prime (2130031171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6185 + ... + 65561.

It is an arithmetic number, because the mean of its divisors is an integer number (275662365).

Almost surely, 22130031121 is an apocalyptic number.

It is an amenable number.

2130031121 is a deficient number, since it is larger than the sum of its proper divisors (75267799).

2130031121 is a wasteful number, since it uses less digits than its factorization.

2130031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60643.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2130031121 is about 46152.2601938410. The cubic root of 2130031121 is about 1286.6546175130.

Adding to 2130031121 its reverse (1211300312), we get a palindrome (3341331433).

The spelling of 2130031121 in words is "two billion, one hundred thirty million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 29 1237 35873 59377 1721933 73449349 2130031121