Search a number
-
+
2131020021 = 3132911091699
BaseRepresentation
bin111111100000100…
…1100100011110101
312111111220000220110
41333001030203311
513331020120041
6551243053233
7103544241234
oct17701144365
95444800813
102131020021
119a39a5979
124b5811219
1327c65c1c0
14163042b1b
15c7143516
hex7f04c8f5

2131020021 has 32 divisors (see below), whose sum is σ = 3170160000. Its totient is φ = 1264290048.

The previous prime is 2131020007. The next prime is 2131020049. The reversal of 2131020021 is 1200201312.

It is not a de Polignac number, because 2131020021 - 27 = 2131019893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131019979 and 2131020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131020061) 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 31 ways as a sum of consecutive naturals, for example, 1253430 + ... + 1255128.

It is an arithmetic number, because the mean of its divisors is an integer number (99067500).

Almost surely, 22131020021 is an apocalyptic number.

It is an amenable number.

2131020021 is a deficient number, since it is larger than the sum of its proper divisors (1039139979).

2131020021 is a wasteful number, since it uses less digits than its factorization.

2131020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131020021 is about 46162.9724021320. The cubic root of 2131020021 is about 1286.8537031638.

Adding to 2131020021 its reverse (1200201312), we get a palindrome (3331221333).

The spelling of 2131020021 in words is "two billion, one hundred thirty-one million, twenty thousand, twenty-one".

Divisors: 1 3 13 29 39 87 377 1109 1131 1699 3327 5097 14417 22087 32161 43251 49271 66261 96483 147813 418093 640523 1254279 1884191 1921569 5652573 24494483 54641539 73483449 163924617 710340007 2131020021