Search a number
-
+
121002112213 = 537345616857
BaseRepresentation
bin111000010110001001…
…0011011010011010101
3102120022211211012000121
41300230102123103111
53440303020042323
6131330531111541
711512354661233
oct1605422332325
9376284735017
10121002112213
11473535a0934
121b54b4425b1
13b5449b3a88
145bdc483953
153232e52a5d
hex1c2c49b4d5

121002112213 has 16 divisors (see below), whose sum is σ = 125019639216. Its totient is φ = 117050019840.

The previous prime is 121002112211. The next prime is 121002112277. The reversal of 121002112213 is 312211200121.

It can be written as a sum of positive squares in 8 ways, for example, as 9621059569 + 111381052644 = 98087^2 + 333738^2 .

It is a cyclic number.

It is not a de Polignac number, because 121002112213 - 21 = 121002112211 is a prime.

It is a super-3 number, since 3×1210021122133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002112211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17643081 + ... + 17649937.

It is an arithmetic number, because the mean of its divisors is an integer number (7813727451).

Almost surely, 2121002112213 is an apocalyptic number.

It is an amenable number.

121002112213 is a deficient number, since it is larger than the sum of its proper divisors (4017527003).

121002112213 is an equidigital number, since it uses as much as digits as its factorization.

121002112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121002112213 its reverse (312211200121), we get a palindrome (433213312334).

The spelling of 121002112213 in words is "one hundred twenty-one billion, two million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 53 73 3869 4561 6857 241733 332953 363421 500561 17646509 26529733 31274777 1657563181 2283058721 121002112213