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123601141131 = 3132391962207
BaseRepresentation
bin111001100011100110…
…0111011110110001011
3102211000222100112102220
41303013030323312023
54011113343004011
6132440453225123
711633644236066
oct1630714736613
9384028315386
10123601141131
1148467692816
121bb559321a3
13b86a2a6a00
145da77118dd
1533361e0506
hex1cc733bd8b

123601141131 has 24 divisors (see below), whose sum is σ = 178502123520. Its totient is φ = 76041609696.

The previous prime is 123601141129. The next prime is 123601141133. The reversal of 123601141131 is 131141106321.

It is an interprime number because it is at equal distance from previous prime (123601141129) and next prime (123601141133).

It is not a de Polignac number, because 123601141131 - 21 = 123601141129 is a prime.

It is a super-3 number, since 3×1236011411313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (123601141133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955830 + ... + 2018036.

It is an arithmetic number, because the mean of its divisors is an integer number (7437588480).

Almost surely, 2123601141131 is an apocalyptic number.

123601141131 is a deficient number, since it is larger than the sum of its proper divisors (54900982389).

123601141131 is a wasteful number, since it uses less digits than its factorization.

123601141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66155 (or 66142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 123601141131 its reverse (131141106321), we get a palindrome (254742247452).

The spelling of 123601141131 in words is "one hundred twenty-three billion, six hundred one million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 39 169 507 3919 11757 50947 62207 152841 186621 662311 808691 1986933 2426073 10512983 31538949 243789233 731367699 3169260029 9507780087 41200380377 123601141131