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124101124 = 22721016269
BaseRepresentation
bin1110110010110…
…10001000000100
322122111222201221
413121122020010
5223232213444
620151530124
73034561600
oct731321004
9278458657
10124101124
1164063014
1235689944
131c931824
14126a6500
15ad65a84
hex765a204

124101124 has 36 divisors (see below), whose sum is σ = 255176460. Its totient is φ = 52651200.

The previous prime is 124101119. The next prime is 124101157. The reversal of 124101124 is 421101421.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86155524 + 37945600 = 9282^2 + 6160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 124101098 and 124101107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16662 + ... + 22930.

It is an arithmetic number, because the mean of its divisors is an integer number (7088235).

Almost surely, 2124101124 is an apocalyptic number.

124101124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124101124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127588230).

124101124 is an abundant number, since it is smaller than the sum of its proper divisors (131075336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124101124 is a wasteful number, since it uses less digits than its factorization.

124101124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 124101124 is about 11140.0684019444. The cubic root of 124101124 is about 498.7986143236.

Adding to 124101124 its reverse (421101421), we get a palindrome (545202545).

The spelling of 124101124 in words is "one hundred twenty-four million, one hundred one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4949 6269 9898 12538 19796 25076 43883 87766 175532 307181 614362 633169 1228724 1266338 2532676 4432183 8864366 17728732 31025281 62050562 124101124