Search a number
-
+
123500755001 = 1361336146337
BaseRepresentation
bin111001100000100110…
…1111111100000111001
3102210202222110101120002
41303001031333200321
54010412143130001
6132422505442345
711631315045131
oct1630115774071
9383688411502
10123500755001
1148415a58178
121bb281a03b5
13b852559530
145d9825dac1
15332c4b146b
hex1cc137f839

123500755001 has 16 divisors (see below), whose sum is σ = 135224293008. Its totient is φ = 112096051200.

The previous prime is 123500754961. The next prime is 123500755019. The reversal of 123500755001 is 100557005321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18719712400 + 104781042601 = 136820^2 + 323699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123500755001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123500755051) 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, 2642105 + ... + 2688441.

It is an arithmetic number, because the mean of its divisors is an integer number (8451518313).

Almost surely, 2123500755001 is an apocalyptic number.

It is an amenable number.

123500755001 is a deficient number, since it is larger than the sum of its proper divisors (11723538007).

123500755001 is a wasteful number, since it uses less digits than its factorization.

123500755001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49772.

The product of its (nonzero) digits is 5250, while the sum is 29.

The spelling of 123500755001 in words is "one hundred twenty-three billion, five hundred million, seven hundred fifty-five thousand, one".

Divisors: 1 13 61 793 3361 43693 46337 205021 602381 2665273 2826557 36745241 155738657 2024602541 9500058077 123500755001