Search a number
-
+
130344204343101 = 3729214029892189
BaseRepresentation
bin11101101000110000011111…
…111111111001011100111101
3122002111210011201012121111120
4131220300133333321130331
5114041024412302434401
61141115144551341153
736312025615305030
oct3550603777713475
9562453151177446
10130344204343101
1138593737315791
12127516b63817b9
135796537502b18
14242899c015017
1510108428ca836
hex768c1fff973d

130344204343101 has 16 divisors (see below), whose sum is σ = 205468696502400. Its totient is φ = 71914043775168.

The previous prime is 130344204343099. The next prime is 130344204343103. The reversal of 130344204343101 is 101343402443031.

It is an interprime number because it is at equal distance from previous prime (130344204343099) and next prime (130344204343103).

It is not a de Polignac number, because 130344204343101 - 21 = 130344204343099 is a prime.

It is a super-2 number, since 2×1303442043431012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130344204343103) 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 15 ways as a sum of consecutive naturals, for example, 107014945486 + ... + 107014946703.

It is an arithmetic number, because the mean of its divisors is an integer number (12841793531400).

Almost surely, 2130344204343101 is an apocalyptic number.

It is an amenable number.

130344204343101 is a deficient number, since it is larger than the sum of its proper divisors (75124492159299).

130344204343101 is a wasteful number, since it uses less digits than its factorization.

130344204343101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214029892228.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 130344204343101 its reverse (101343402443031), we get a palindrome (231687606786132).

The spelling of 130344204343101 in words is "one hundred thirty trillion, three hundred forty-four billion, two hundred four million, three hundred forty-three thousand, one hundred one".

Divisors: 1 3 7 21 29 87 203 609 214029892189 642089676567 1498209245323 4494627735969 6206866873481 18620600620443 43448068114367 130344204343101