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213400240131 = 313419103912569
BaseRepresentation
bin1100011010111110100…
…1010100000000000011
3202101211020012102012110
43012233221110000003
511444020430141011
6242011255430403
721263154053331
oct3065751240003
9671736172173
10213400240131
1182558965a21
1235437385403
131717b5b7850
14a485a74b51
15583ead5ba6
hex31afa54003

213400240131 has 32 divisors (see below), whose sum is σ = 307472256000. Its totient is φ = 130873298688.

The previous prime is 213400240129. The next prime is 213400240133. The reversal of 213400240131 is 131042004312.

It is an interprime number because it is at equal distance from previous prime (213400240129) and next prime (213400240133).

It is not a de Polignac number, because 213400240131 - 21 = 213400240129 is a prime.

It is a super-2 number, since 2×2134002401312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213400240098 and 213400240107.

It is not an unprimeable number, because it can be changed into a prime (213400240133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16972015 + ... + 16984583.

It is an arithmetic number, because the mean of its divisors is an integer number (9608508000).

Almost surely, 2213400240131 is an apocalyptic number.

213400240131 is a deficient number, since it is larger than the sum of its proper divisors (94072015869).

213400240131 is a wasteful number, since it uses less digits than its factorization.

213400240131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213400240131 its reverse (131042004312), we get a palindrome (344442244443).

The spelling of 213400240131 in words is "two hundred thirteen billion, four hundred million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 13 39 419 1039 1257 3117 5447 12569 13507 16341 37707 40521 163397 435341 490191 1306023 5266411 5659433 13059191 15799233 16978299 39177573 68463343 169769483 205390029 509308449 5471801029 16415403087 71133413377 213400240131