Search a number
-
+
105150004453 = 1310188190901
BaseRepresentation
bin110000111101101101…
…1011011110011100101
3101001102002021200020101
41201323123123303211
53210321400120303
6120145533304101
710411500201514
oct1417333336345
9331362250211
10105150004453
114065948872a
1218466635031
139bb976c260
14513700c67b
152b06421d1d
hex187b6dbce5

105150004453 has 16 divisors (see below), whose sum is σ = 114490705392. Its totient is φ = 95990400000.

The previous prime is 105150004423. The next prime is 105150004483. The reversal of 105150004453 is 354400051501.

It is an interprime number because it is at equal distance from previous prime (105150004423) and next prime (105150004483).

It can be written as a sum of positive squares in 8 ways, for example, as 8325102564 + 96824901889 = 91242^2 + 311167^2 .

It is a de Polignac number, because none of the positive numbers 2k-105150004453 is a prime.

It is a super-2 number, since 2×1051500044532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105150004423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111303 + ... + 1202203.

It is an arithmetic number, because the mean of its divisors is an integer number (7155669087).

Almost surely, 2105150004453 is an apocalyptic number.

105150004453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105150004453 is a deficient number, since it is larger than the sum of its proper divisors (9340700939).

105150004453 is a wasteful number, since it uses less digits than its factorization.

105150004453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91896.

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 105150004453 its reverse (354400051501), we get a palindrome (459550055954).

The spelling of 105150004453 in words is "one hundred five billion, one hundred fifty million, four thousand, four hundred fifty-three".

Divisors: 1 13 101 881 1313 11453 88981 90901 1156753 1181713 9181001 80083781 119353013 1041089153 8088461881 105150004453