Search a number
-
+
299263353130 = 257429429797
BaseRepresentation
bin1000101101011010111…
…11000110000100101010
31001121110011210111012201
410112231133012010222
514400342404300010
6345251340130414
730423011350000
oct4265537060452
91047404714181
10299263353130
11105a0a3a7635
1249bba836a0a
13222b332aca1
14106ad388a70
157bb7b9d23a
hex45ad7c612a

299263353130 has 80 divisors (see below), whose sum is σ = 650086666920. Its totient is φ = 99066258816.

The previous prime is 299263353127. The next prime is 299263353131. The reversal of 299263353130 is 31353362992.

It can be written as a sum of positive squares in 4 ways, for example, as 152398886689 + 146864466441 = 390383^2 + 383229^2 .

It is a super-2 number, since 2×2992633531302 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (299263353131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 481392 + ... + 911188.

Almost surely, 2299263353130 is an apocalyptic number.

299263353130 is an abundant number, since it is smaller than the sum of its proper divisors (350823313790).

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

299263353130 is an equidigital number, since it uses as much as digits as its factorization.

299263353130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429861 (or 429840 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 46.

The spelling of 299263353130 in words is "two hundred ninety-nine billion, two hundred sixty-three million, three hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 343 406 490 686 1015 1421 1715 2030 2401 2842 3430 4802 7105 9947 12005 14210 19894 24010 49735 69629 99470 139258 348145 429797 696290 859594 2148985 3008579 4297970 6017158 12464113 15042895 21060053 24928226 30085790 42120106 62320565 87248791 105300265 124641130 147420371 174497582 210600530 294840742 436243955 610741537 737101855 872487910 1031942597 1221483074 1474203710 2063885194 3053707685 4275190759 5159712985 6107415370 8550381518 10319425970 21375953795 29926335313 42751907590 59852670626 149631676565 299263353130