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121301313312213 = 32107487258648673
BaseRepresentation
bin11011100101001010101001…
…101100001101010111010101
3120220111021220002100122211200
4123211022221230031113111
5111344400042201442323
61105553015401223113
734356505423632246
oct3345125154152725
9526437802318750
10121301313312213
11357176640562a1
1211731010491a99
13528b884640418
1421d502cc02ccd
15e054d39ea443
hex6e52a9b0d5d5

121301313312213 has 24 divisors (see below), whose sum is σ = 177213656288448. Its totient is φ = 79947269920512.

The previous prime is 121301313312199. The next prime is 121301313312259. The reversal of 121301313312213 is 312213313103121.

121301313312213 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 131 + 3 + 312 + 213 = 666.

It is not a de Polignac number, because 121301313312213 - 226 = 121301246203349 is a prime.

It is a super-2 number, since 2×1213013133122132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121301313319213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128855356 + ... + 129793317.

It is an arithmetic number, because the mean of its divisors is an integer number (7383902345352).

Almost surely, 2121301313312213 is an apocalyptic number.

It is an amenable number.

121301313312213 is a deficient number, since it is larger than the sum of its proper divisors (55912342976235).

121301313312213 is a wasteful number, since it uses less digits than its factorization.

121301313312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258649273 (or 258649270 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121301313312213 its reverse (312213313103121), we get a palindrome (433514626415334).

The spelling of 121301313312213 in words is "one hundred twenty-one trillion, three hundred one billion, three hundred thirteen million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 9 107 321 487 963 1461 4383 52109 156327 468981 258648673 775946019 2327838057 27675408011 83026224033 125961903751 249078672099 377885711253 1133657133759 13477923701357 40433771104071 121301313312213