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124142301 = 3429411289
BaseRepresentation
bin1110110011001…
…00001011011101
322122121002020000
413121210023131
5223240023201
620152444513
73035122623
oct731441335
9278532200
10124142301
1164090a48
12356a9739
131c9474aa
14126b7513
15ad72d86
hex76642dd

124142301 has 40 divisors (see below), whose sum is σ = 196673400. Its totient is φ = 77898240.

The previous prime is 124142299. The next prime is 124142303. The reversal of 124142301 is 103241421.

124142301 is a `hidden beast` number, since 1 + 241 + 423 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (124142299) and next prime (124142303).

It can be written as a sum of positive squares in 4 ways, for example, as 10208025 + 113934276 = 3195^2 + 10674^2 .

It is not a de Polignac number, because 124142301 - 21 = 124142299 is a prime.

It is a super-2 number, since 2×1241423012 = 30822621795149202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124142303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95665 + ... + 96953.

It is an arithmetic number, because the mean of its divisors is an integer number (4916835).

Almost surely, 2124142301 is an apocalyptic number.

It is an amenable number.

124142301 is a deficient number, since it is larger than the sum of its proper divisors (72531099).

124142301 is a wasteful number, since it uses less digits than its factorization.

124142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 124142301 is about 11141.9163971015. The cubic root of 124142301 is about 498.8537756809.

Adding to 124142301 its reverse (103241421), we get a palindrome (227383722).

The spelling of 124142301 in words is "one hundred twenty-four million, one hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 783 1107 1189 1289 2349 3321 3567 3867 10701 11601 32103 34803 37381 52849 96309 104409 112143 158547 336429 475641 1009287 1426923 1532621 3027861 4280769 4597863 13793589 41380767 124142301