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124142100 = 22352413807
BaseRepresentation
bin1110110011001…
…00001000010100
322122121001221120
413121210020110
5223240021400
620152443540
73035122215
oct731441024
9278531846
10124142100
1164090885
12356a95b0
131c947384
14126b740c
15ad72ca0
hex7664214

124142100 has 36 divisors (see below), whose sum is σ = 359185344. Its totient is φ = 33104480.

The previous prime is 124142099. The next prime is 124142107. The reversal of 124142100 is 1241421.

It is a super-2 number, since 2×1241421002 = 30822521984820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 124142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124142107) by changing a digit.

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, 206604 + ... + 207203.

Almost surely, 2124142100 is an apocalyptic number.

124142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124142100 is an abundant number, since it is smaller than the sum of its proper divisors (235043244).

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

124142100 is a wasteful number, since it uses less digits than its factorization.

124142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413824 (or 413817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 124142100 is about 11141.9073771056. The cubic root of 124142100 is about 498.8535064477.

Adding to 124142100 its reverse (1241421), we get a palindrome (125383521).

Multiplying 124142100 by its reverse (1241421), we get a square (154112609924100 = 124142102).

124142100 divided by its reverse (1241421) gives a square (100 = 102).

The spelling of 124142100 in words is "one hundred twenty-four million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 413807 827614 1241421 1655228 2069035 2482842 4138070 4965684 6207105 8276140 10345175 12414210 20690350 24828420 31035525 41380700 62071050 124142100