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123011131201 = 722510431249
BaseRepresentation
bin111001010010000001…
…0001110011101000001
3102202111212010220222021
41302210002032131001
54003411322144301
6132302135241441
711613221235400
oct1624402163501
9382455126867
10123011131201
1148194638602
121ba10219281
13b7a4c982ca
145d4d209637
1532ee4e78a1
hex1ca408e741

123011131201 has 6 divisors (see below), whose sum is σ = 143094581250. Its totient is φ = 105438112416.

The previous prime is 123011131189. The next prime is 123011131261. The reversal of 123011131201 is 102131110321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 120839664400 + 2171466801 = 347620^2 + 46599^2 .

It is not a de Polignac number, because 123011131201 - 29 = 123011130689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123011131261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1255215576 + ... + 1255215673.

It is an arithmetic number, because the mean of its divisors is an integer number (23849096875).

Almost surely, 2123011131201 is an apocalyptic number.

It is an amenable number.

123011131201 is a deficient number, since it is larger than the sum of its proper divisors (20083450049).

123011131201 is an equidigital number, since it uses as much as digits as its factorization.

123011131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510431263 (or 2510431256 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 123011131201 its reverse (102131110321), we get a palindrome (225142241522).

The spelling of 123011131201 in words is "one hundred twenty-three billion, eleven million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 7 49 2510431249 17573018743 123011131201