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121132211213 = 1317548109553
BaseRepresentation
bin111000011010000001…
…0101101110000001101
3102120122220121220022002
41300310002231300031
53441034321224323
6131351455402045
711515524543506
oct1606402556015
9376586556262
10121132211213
114740aa80172
121b586b23325
13b565935630
145c1186bbad
15323e5a0828
hex1c340adc0d

121132211213 has 8 divisors (see below), whose sum is σ = 138123607608. Its totient is φ = 105237033984.

The previous prime is 121132211153. The next prime is 121132211219. The reversal of 121132211213 is 312112231121.

It can be written as a sum of positive squares in 4 ways, for example, as 235530409 + 120896680804 = 15347^2 + 347702^2 .

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 121132211213 - 28 = 121132210957 is a prime.

It is a super-3 number, since 3×1211322112133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132211219) 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, 274054556 + ... + 274054997.

It is an arithmetic number, because the mean of its divisors is an integer number (17265450951).

Almost surely, 2121132211213 is an apocalyptic number.

121132211213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121132211213 is a deficient number, since it is larger than the sum of its proper divisors (16991396395).

121132211213 is a wasteful number, since it uses less digits than its factorization.

121132211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548109583.

The product of its digits is 144, while the sum is 20.

Adding to 121132211213 its reverse (312112231121), we get a palindrome (433244442334).

The spelling of 121132211213 in words is "one hundred twenty-one billion, one hundred thirty-two million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 13 17 221 548109553 7125424189 9317862401 121132211213