Search a number
-
+
102233643243705 = 3252271858738749
BaseRepresentation
bin10111001111101100011111…
…111111010101100010111001
3111101222102220101010220221100
4113033230133333111202321
5101344444000132244310
61001233253133202013
730351064661353041
oct2717543777254271
9441872811126840
10102233643243705
112a6360544270a6
12b571694330309
13450778bb0277c
141b361c59d6721
15bc44e95eeec0
hex5cfb1ffd58b9

102233643243705 has 12 divisors (see below), whose sum is σ = 177204981622500. Its totient is φ = 54524609729952.

The previous prime is 102233643243701. The next prime is 102233643243707. The reversal of 102233643243705 is 507342346332201.

102233643243705 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 336 + 4 + 3 + 243 + 70 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53079690507561 + 49153952736144 = 7285581^2 + 7010988^2 .

It is not a de Polignac number, because 102233643243705 - 22 = 102233643243701 is a prime.

It is a super-2 number, since 2×1022336432437052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2271858738749 = 102233643243705 / (1 + 0 + 2 + 2 + 3 + 3 + 6 + 4 + 3 + 2 + 4 + 3 + 7 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (102233643243701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135929369330 + ... + 1135929369419.

It is an arithmetic number, because the mean of its divisors is an integer number (14767081801875).

Almost surely, 2102233643243705 is an apocalyptic number.

102233643243705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102233643243705 is a deficient number, since it is larger than the sum of its proper divisors (74971338378795).

102233643243705 is a wasteful number, since it uses less digits than its factorization.

102233643243705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271858738760 (or 2271858738757 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

Adding to 102233643243705 its reverse (507342346332201), we get a palindrome (609575989575906).

The spelling of 102233643243705 in words is "one hundred two trillion, two hundred thirty-three billion, six hundred forty-three million, two hundred forty-three thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 2271858738749 6815576216247 11359293693745 20446728648741 34077881081235 102233643243705