Search a number
-
+
210312121131 = 32717409347977
BaseRepresentation
bin1100001111011110010…
…1000100101100101011
3202002212000100201022200
43003313211010230223
511421204400334011
6240341022351243
721123505351050
oct3036745045453
9662760321280
10210312121131
1181213789462
123491512b523
1316aa888c5b8
14a271891027
15570d937856
hex30f7944b2b

210312121131 has 48 divisors (see below), whose sum is σ = 367701856704. Its totient is φ = 113079048192.

The previous prime is 210312121111. The next prime is 210312121181. The reversal of 210312121131 is 131121213012.

210312121131 is a `hidden beast` number, since 210 + 312 + 12 + 1 + 131 = 666.

It is not a de Polignac number, because 210312121131 - 26 = 210312121067 is a prime.

It is a super-2 number, since 2×2103121211312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210312121111) 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, 4359615 + ... + 4407591.

It is an arithmetic number, because the mean of its divisors is an integer number (7660455348).

Almost surely, 2210312121131 is an apocalyptic number.

210312121131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210312121131 is a deficient number, since it is larger than the sum of its proper divisors (157389735573).

210312121131 is a wasteful number, since it uses less digits than its factorization.

210312121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52100 (or 52097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210312121131 its reverse (131121213012), we get a palindrome (341433334143).

The spelling of 210312121131 in words is "two hundred ten billion, three hundred twelve million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 4093 12279 28651 36837 47977 69581 85953 143931 208743 257859 335839 431793 487067 626229 815609 1007517 1461201 2446827 3022551 4383603 5709263 7340481 17127789 51383367 196369861 589109583 1374589027 1767328749 3338287637 4123767081 10014862911 12371301243 23368013459 30044588733 70104040377 210312121131