Search a number
-
+
123300102121 = 71910724135951
BaseRepresentation
bin111001011010101000…
…0100011111111101001
3102210020222220011112221
41302311100203333221
54010004311231441
6132350541034041
711623330401250
oct1626520437751
9383228804487
10123300102121
1148322769749
121ba90b55921
13b81cb04011
145d7974b797
153319a788d1
hex1cb5423fe9

123300102121 has 32 divisors (see below), whose sum is σ = 150342635520. Its totient is φ = 98773344000.

The previous prime is 123300102109. The next prime is 123300102139. The reversal of 123300102121 is 121201003321.

It is a cyclic number.

It is not a de Polignac number, because 123300102121 - 229 = 122763231209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123300102095 and 123300102104.

It is not an unprimeable number, because it can be changed into a prime (123300102421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411696 + ... + 3447646.

It is an arithmetic number, because the mean of its divisors is an integer number (4698207360).

Almost surely, 2123300102121 is an apocalyptic number.

It is an amenable number.

123300102121 is a deficient number, since it is larger than the sum of its proper divisors (27042533399).

123300102121 is a wasteful number, since it uses less digits than its factorization.

123300102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36325.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123300102121 its reverse (121201003321), we get a palindrome (244501105442).

The spelling of 123300102121 in words is "one hundred twenty-three billion, three hundred million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 7 19 107 133 241 749 1687 2033 4579 14231 25787 32053 35951 180509 251657 489953 683069 3429671 3846757 4781483 8664191 26927299 60649337 73088383 164619629 511618681 927068437 1152337403 6489479059 17614300303 123300102121