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124113244101 = 37211101759953
BaseRepresentation
bin111001110010110111…
…0011100111111000101
3102212100122222001122120
41303211232130333011
54013140442302401
6133003345320153
711652433111500
oct1634556347705
9385318861576
10124113244101
11486aa766310
1220079336059
13b91c408912
146015738137
153366149836
hex1ce5b9cfc5

124113244101 has 48 divisors (see below), whose sum is σ = 212081882688. Its totient is φ = 63835968000.

The previous prime is 124113244091. The next prime is 124113244103. The reversal of 124113244101 is 101442311421.

It is a happy number.

It is not a de Polignac number, because 124113244101 - 210 = 124113243077 is a prime.

It is a super-2 number, since 2×1241132441012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124113244103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216660 + ... + 543293.

It is an arithmetic number, because the mean of its divisors is an integer number (4418372556).

Almost surely, 2124113244101 is an apocalyptic number.

124113244101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124113244101 is a deficient number, since it is larger than the sum of its proper divisors (87968638587).

124113244101 is a wasteful number, since it uses less digits than its factorization.

124113244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760082 (or 760075 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 124113244101 its reverse (101442311421), we get a palindrome (225555555522).

The spelling of 124113244101 in words is "one hundred twenty-four billion, one hundred thirteen million, two hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1111 1617 2121 3333 4949 7777 14847 23331 54439 163317 759953 2279859 5319671 8359483 15959013 25078449 37237697 58516381 76755253 111713091 175549143 230265759 409614667 537286771 844307783 1228844001 1611860313 2532923349 3761007397 5910154481 11283022191 17730463443 41371081367 124113244101