Search a number
-
+
105532455141 = 3211725828349
BaseRepresentation
bin110001001001000111…
…0010111100011100101
3101002101201221011221200
41202102032113203211
53212112302031031
6120251514433113
710424123032221
oct1422216274345
9332351834850
10105532455141
1140835357583
1218552732799
139c4aa77a39
145171b25781
152b29cba8e6
hex18923978e5

105532455141 has 6 divisors (see below), whose sum is σ = 152435768550. Its totient is φ = 70354970088.

The previous prime is 105532455137. The next prime is 105532455163. The reversal of 105532455141 is 141554235501.

105532455141 is a `hidden beast` number, since 10 + 5 + 53 + 2 + 4 + 551 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68301209025 + 37231246116 = 261345^2 + 192954^2 .

It is not a de Polignac number, because 105532455141 - 22 = 105532455137 is a prime.

It is a super-2 number, since 2×1055324551412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105532455096 and 105532455105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105532455121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5862914166 + ... + 5862914183.

It is an arithmetic number, because the mean of its divisors is an integer number (25405961425).

Almost surely, 2105532455141 is an apocalyptic number.

It is an amenable number.

105532455141 is a deficient number, since it is larger than the sum of its proper divisors (46903313409).

105532455141 is a wasteful number, since it uses less digits than its factorization.

105532455141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725828355 (or 11725828352 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105532455141 in words is "one hundred five billion, five hundred thirty-two million, four hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11725828349 35177485047 105532455141