Search a number
-
+
13300302131114 = 24110165314291721
BaseRepresentation
bin1100000110001011011111…
…0010001010111110101010
31202002111101220221101222212
43001202313302022332222
53220403004321143424
644142024025245122
72541625612530545
oct301426762127652
952074356841885
1013300302131114
1142686988a6629
1215a98303337a2
137562a027cb1b
1433da4933385c
15180e8862610e
hexc18b7c8afaa

13300302131114 has 64 divisors (see below), whose sum is σ = 20697488491680. Its totient is φ = 6405665280000.

The previous prime is 13300302131113. The next prime is 13300302131167. The reversal of 13300302131114 is 41113120300331.

It can be written as a sum of positive squares in 16 ways, for example, as 208807872025 + 13091494259089 = 456955^2 + 3618217^2 .

It is a super-2 number, since 2×133003021311142 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13300302131114.

It is not an unprimeable number, because it can be changed into a prime (13300302131113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7728239774 + ... + 7728241494.

Almost surely, 213300302131114 is an apocalyptic number.

13300302131114 is a deficient number, since it is larger than the sum of its proper divisors (7397186360566).

13300302131114 is a wasteful number, since it uses less digits than its factorization.

13300302131114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13300302131114 its reverse (41113120300331), we get a palindrome (54413422431445).

The spelling of 13300302131114 in words is "thirteen trillion, three hundred billion, three hundred two million, one hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 41 82 101 202 653 1306 1429 1721 2858 3442 4141 8282 26773 53546 58589 65953 70561 117178 131906 141122 144329 173821 288658 347642 933137 1123813 1866274 2247626 2459309 2704073 4918618 5408146 5917489 7126661 11834978 14253322 38258617 46076333 76517234 92152666 94246837 100831669 113505113 188493674 201663338 227010226 248390209 496780418 1605928777 3211857554 3864120317 4653709633 7728240634 9307419266 10183998569 20367997138 65843079857 131686159714 162198806477 324397612954 6650151065557 13300302131114