Search a number
-
+
152111011221001 = 723486618903509
BaseRepresentation
bin100010100101100000011010…
…110010100100111000001001
3201221120200002220111222012101
4202211200122302210320021
5124414141322333033001
61255302500040513401
744016441442106200
oct4245403262447011
9657520086458171
10152111011221001
1144515a10343498
1215088171a7b861
1366b5011c658b1
14297c2d84bc237
15128bb531a0a01
hex8a581aca4e09

152111011221001 has 12 divisors (see below), whose sum is σ = 176945989406340. Its totient is φ = 130380478169760.

The previous prime is 152111011220989. The next prime is 152111011221041. The reversal of 152111011221001 is 100122110111251.

It can be written as a sum of positive squares in 2 ways, for example, as 77160852015625 + 74950159205376 = 8784125^2 + 8657376^2 .

It is not a de Polignac number, because 152111011221001 - 27 = 152111011220873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152111011221001.

It is not an unprimeable number, because it can be changed into a prime (152111011221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12632635 + ... + 21536143.

It is an arithmetic number, because the mean of its divisors is an integer number (14745499117195).

Almost surely, 2152111011221001 is an apocalyptic number.

It is an amenable number.

152111011221001 is a deficient number, since it is larger than the sum of its proper divisors (24834978185339).

152111011221001 is an equidigital number, since it uses as much as digits as its factorization.

152111011221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252184 (or 9252177 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 19.

Adding to 152111011221001 its reverse (100122110111251), we get a palindrome (252233121332252).

The spelling of 152111011221001 in words is "one hundred fifty-two trillion, one hundred eleven billion, eleven million, two hundred twenty-one thousand, one".

Divisors: 1 7 49 348661 2440627 8903509 17084389 62324563 436271941 3104306351449 21730144460143 152111011221001