[go: up one dir, main page]

Search a number
-
+
2232013101 = 32931182493
BaseRepresentation
bin1000010100001001…
…1101000100101101
312202112221000100220
42011002131010231
514032343404401
61005251441553
7106211540553
oct20502350455
95675830326
102232013101
11a45a0552a
125235b62b9
1329755ca16
14172611bd3
15d0e42336
hex8509d12d

2232013101 has 16 divisors (see below), whose sum is σ = 3088575360. Its totient is φ = 1432061120.

The previous prime is 2232013073. The next prime is 2232013109. The reversal of 2232013101 is 1013102322.

It is a cyclic number.

It is not a de Polignac number, because 2232013101 - 26 = 2232013037 is a prime.

It is a super-3 number, since 3×22320131013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14190 + ... + 68303.

It is an arithmetic number, because the mean of its divisors is an integer number (193035960).

Almost surely, 22232013101 is an apocalyptic number.

It is an amenable number.

2232013101 is a deficient number, since it is larger than the sum of its proper divisors (856562259).

2232013101 is a wasteful number, since it uses less digits than its factorization.

2232013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82836.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2232013101 is about 47244.1858962561. The cubic root of 2232013101 is about 1306.8695723517.

Adding to 2232013101 its reverse (1013102322), we get a palindrome (3245115423).

The spelling of 2232013101 in words is "two billion, two hundred thirty-two million, thirteen thousand, one hundred one".

Divisors: 1 3 29 87 311 933 9019 27057 82493 247479 2392297 7176891 25655323 76965969 744004367 2232013101