Search a number
-
+
2301132302010 = 232525568136689
BaseRepresentation
bin100001011111000110001…
…011000110011010111010
322010222121212101210001200
4201133012023012122322
5300200204332131020
64521043043155030
7325152126560433
oct41370613063272
98128555353050
102301132302010
118079a5215373
12311b84675a76
13138cc3b43669
147d53813c48a
153ecceca3590
hex217c62c66ba

2301132302010 has 24 divisors (see below), whose sum is σ = 5982943985460. Its totient is φ = 613635280512.

The previous prime is 2301132302009. The next prime is 2301132302011. The reversal of 2301132302010 is 102032311032.

2301132302010 is a `hidden beast` number, since 2 + 301 + 132 + 30 + 201 + 0 = 666.

2301132302010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2301132302009) and next prime (2301132302011).

It can be written as a sum of positive squares in 2 ways, for example, as 2128135368969 + 172996933041 = 1458813^2 + 415929^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2301132302011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12784068255 + ... + 12784068434.

Almost surely, 22301132302010 is an apocalyptic number.

2301132302010 is an abundant number, since it is smaller than the sum of its proper divisors (3681811683450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2301132302010 is a wasteful number, since it uses less digits than its factorization.

2301132302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25568136702 (or 25568136699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2301132302010 its reverse (102032311032), we get a palindrome (2403164613042).

The spelling of 2301132302010 in words is "two trillion, three hundred one billion, one hundred thirty-two million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25568136689 51136273378 76704410067 127840683445 153408820134 230113230201 255681366890 383522050335 460226460402 767044100670 1150566151005 2301132302010