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214311130401 = 3192317980803
BaseRepresentation
bin1100011110010111110…
…0000101010100100001
3202111011201012102202010
43013211330011110201
512002402122133101
6242241515143133
721324554360154
oct3074574052441
9674151172663
10214311130401
11829860562a5
1235650444aa9
1317295225084
14a530a27c9b
155894a642d6
hex31e5f05521

214311130401 has 48 divisors (see below), whose sum is σ = 315251957760. Its totient is φ = 129328449120.

The previous prime is 214311130399. The next prime is 214311130403. The reversal of 214311130401 is 104031113412.

It is an interprime number because it is at equal distance from previous prime (214311130399) and next prime (214311130403).

It is not a de Polignac number, because 214311130401 - 21 = 214311130399 is a prime.

It is a super-2 number, since 2×2143111304012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214311130403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611866 + ... + 2692668.

It is an arithmetic number, because the mean of its divisors is an integer number (6567749120).

Almost surely, 2214311130401 is an apocalyptic number.

It is an amenable number.

214311130401 is a deficient number, since it is larger than the sum of its proper divisors (100940827359).

214311130401 is a wasteful number, since it uses less digits than its factorization.

214311130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80954 (or 80935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 214311130401 its reverse (104031113412), we get a palindrome (318342243813).

The spelling of 214311130401 in words is "two hundred fourteen billion, three hundred eleven million, one hundred thirty thousand, four hundred one".

Divisors: 1 3 19 31 57 79 93 237 361 589 1083 1501 1767 2449 4503 7347 11191 28519 33573 46531 80803 85557 139593 242409 884089 1535257 2504893 2652267 4605771 6383437 7514679 19150311 29169883 47592967 87509649 121285303 142778901 197886547 363855909 593659641 904266373 2304420757 2712799119 3759844393 6913262271 11279533179 71437043467 214311130401