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121404213 = 3272614513
BaseRepresentation
bin1110011110001…
…11101100110101
322110102222021100
413033013230311
5222034413323
620014040313
73002630100
oct717075465
9273388240
10121404213
1162590867
12347a9099
131c1c9118
14121a3737
15a9d1943
hex73c7b35

121404213 has 36 divisors (see below), whose sum is σ = 207382188. Its totient is φ = 68221440.

The previous prime is 121404211. The next prime is 121404221. The reversal of 121404213 is 312404121.

It can be written as a sum of positive squares in 2 ways, for example, as 1238769 + 120165444 = 1113^2 + 10962^2 .

It is not a de Polignac number, because 121404213 - 21 = 121404211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121404211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24645 + ... + 29157.

Almost surely, 2121404213 is an apocalyptic number.

It is an amenable number.

121404213 is a deficient number, since it is larger than the sum of its proper divisors (85977975).

121404213 is a wasteful number, since it uses less digits than its factorization.

121404213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121404213 is about 11018.3579992665. The cubic root of 121404213 is about 495.1588960348.

Adding to 121404213 its reverse (312404121), we get a palindrome (433808334).

It can be divided in two parts, 12 and 1404213, that added together give a square (1404225 = 11852).

The spelling of 121404213 in words is "one hundred twenty-one million, four hundred four thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2989 3843 4513 8967 13539 26901 31591 40617 94773 221137 275293 284319 663411 825879 1927051 1990233 2477637 5781153 13489357 17343459 40468071 121404213