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121331311201 = 1751721137993
BaseRepresentation
bin111000011111111101…
…0001110001001100001
3102121011210021020010201
41300333322032021201
53441441303424301
6131423331025201
711523463062112
oct1607772161141
9377153236121
10121331311201
11475023a8a11
121b62173b201
13b597c66089
145c30098209
153251ccd201
hex1c3fe8e261

121331311201 has 8 divisors (see below), whose sum is σ = 128471862024. Its totient is φ = 114191139840.

The previous prime is 121331311181. The next prime is 121331311237. The reversal of 121331311201 is 102113133121.

It can be written as a sum of positive squares in 4 ways, for example, as 793886976 + 120537424225 = 28176^2 + 347185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121331311201 - 215 = 121331278433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121331611201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810261 + ... + 948253.

It is an arithmetic number, because the mean of its divisors is an integer number (16058982753).

Almost surely, 2121331311201 is an apocalyptic number.

It is an amenable number.

121331311201 is a deficient number, since it is larger than the sum of its proper divisors (7140550823).

121331311201 is a wasteful number, since it uses less digits than its factorization.

121331311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189731.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 121331311201 its reverse (102113133121), we get a palindrome (223444444322).

The spelling of 121331311201 in words is "one hundred twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, two hundred one".

Divisors: 1 17 51721 137993 879257 2345881 7137135953 121331311201