Search a number
-
+
105141211 = 7223293217
BaseRepresentation
bin1100100010001…
…01001111011011
321022211201121221
412101011033123
5203404004321
614233312511
72414454100
oct621051733
9238751557
10105141211
115439316a
122b265737
1318a23946
14dd6caa7
15936ce41
hex64453db

105141211 has 24 divisors (see below), whose sum is σ = 132066720. Its totient is φ = 83204352.

The previous prime is 105141203. The next prime is 105141217. The reversal of 105141211 is 112141501.

It is not a de Polignac number, because 105141211 - 23 = 105141203 is a prime.

It is a super-2 number, since 2×1051412112 = 22109348501093042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105141217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31075 + ... + 34291.

It is an arithmetic number, because the mean of its divisors is an integer number (5502780).

Almost surely, 2105141211 is an apocalyptic number.

105141211 is a deficient number, since it is larger than the sum of its proper divisors (26925509).

105141211 is a wasteful number, since it uses less digits than its factorization.

105141211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 105141211 is about 10253.8388421118. The cubic root of 105141211 is about 471.9807922735.

Adding to 105141211 its reverse (112141501), we get a palindrome (217282712).

The spelling of 105141211 in words is "one hundred five million, one hundred forty-one thousand, two hundred eleven".

Divisors: 1 7 23 29 49 161 203 667 1127 1421 3217 4669 22519 32683 73991 93293 157633 517937 653051 2145739 3625559 4571357 15020173 105141211