Search a number
-
+
1245351045105 = 325101741272009
BaseRepresentation
bin10010000111110100101…
…101001110011111110001
311102001110122200220101200
4102013310231032133301
5130400434331420410
62352034550521413
7155654650140306
oct22076455163761
94361418626350
101245351045105
11440172220562
12181435666269
139058915993b
14443bd6570ad
15225db36c3c0
hex121f4b4e7f1

1245351045105 has 24 divisors (see below), whose sum is σ = 2158637630760. Its totient is φ = 664178254080.

The previous prime is 1245351045091. The next prime is 1245351045119. The reversal of 1245351045105 is 5015401535421.

1245351045105 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 35 + 104 + 510 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1245351045091) and next prime (1245351045119).

It can be written as a sum of positive squares in 4 ways, for example, as 52572528369 + 1192778516736 = 229287^2 + 1092144^2 .

It is not a de Polignac number, because 1245351045105 - 24 = 1245351045089 is a prime.

It is a super-2 number, since 2×12453510451052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1245351045105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4442341 + ... + 4714349.

It is an arithmetic number, because the mean of its divisors is an integer number (89943234615).

Almost surely, 21245351045105 is an apocalyptic number.

1245351045105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1245351045105 is a deficient number, since it is larger than the sum of its proper divisors (913286585655).

1245351045105 is a wasteful number, since it uses less digits than its factorization.

1245351045105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373761 (or 373758 counting only the distinct ones).

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

The spelling of 1245351045105 in words is "one trillion, two hundred forty-five billion, three hundred fifty-one million, forty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 101741 272009 305223 508705 816027 915669 1360045 1526115 2448081 4080135 4578345 12240405 27674467669 83023403007 138372338345 249070209021 415117015035 1245351045105