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144110201212133 = 1329616266478289
BaseRepresentation
bin100000110001000101000101…
…010110100000110011100101
3200220020210121200221212001122
4200301011011112200303211
5122342100143002242013
61230255151255303325
742232422062116022
oct4061050526406345
9626223550855048
10144110201212133
1141a1087a703642
12141b563297ab45
1362546c25c5c60
142782d8442a549
15119d985087a08
hex8311455a0ce5

144110201212133 has 16 divisors (see below), whose sum is σ = 163179094671600. Its totient is φ = 126332202286080.

The previous prime is 144110201212097. The next prime is 144110201212169. The reversal of 144110201212133 is 331212102011441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144110201212097) and next prime (144110201212169).

It can be written as a sum of positive squares in 8 ways, for example, as 70656011038369 + 73454190173764 = 8405713^2 + 8570542^2 .

It is a cyclic number.

It is not a de Polignac number, because 144110201212133 - 212 = 144110201208037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144110201212193) 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 15 ways as a sum of consecutive naturals, for example, 3133216148 + ... + 3133262141.

It is an arithmetic number, because the mean of its divisors is an integer number (10198693416975).

Almost surely, 2144110201212133 is an apocalyptic number.

144110201212133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144110201212133 is a deficient number, since it is larger than the sum of its proper divisors (19068893459467).

144110201212133 is a wasteful number, since it uses less digits than its factorization.

144110201212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266478392.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 144110201212133 its reverse (331212102011441), we get a palindrome (475322303223574).

The spelling of 144110201212133 in words is "one hundred forty-four trillion, one hundred ten billion, two hundred one million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 13 29 61 377 793 1769 22997 6266478289 81464217757 181727870381 382255175629 2362462314953 4969317283177 11085400093241 144110201212133