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126105021 = 32723293001
BaseRepresentation
bin1111000010000…
…11010110111101
322210021210120100
413201003112331
5224240330041
620302511313
73060606060
oct741032675
9283253510
10126105021
1165201629
1236295539
1320183973
1412a688d7
15b10e6b6
hex78435bd

126105021 has 48 divisors (see below), whose sum is σ = 224789760. Its totient is φ = 66528000.

The previous prime is 126105013. The next prime is 126105029. The reversal of 126105021 is 120501621.

126105021 is a `hidden beast` number, since 1 + 2 + 610 + 50 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126105013) and next prime (126105029).

It is not a de Polignac number, because 126105021 - 23 = 126105013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126104985 and 126105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126105029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40521 + ... + 43521.

It is an arithmetic number, because the mean of its divisors is an integer number (4683120).

Almost surely, 2126105021 is an apocalyptic number.

It is an amenable number.

126105021 is a deficient number, since it is larger than the sum of its proper divisors (98684739).

126105021 is a wasteful number, since it uses less digits than its factorization.

126105021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 126105021 is about 11229.6491930959. The cubic root of 126105021 is about 501.4690409437.

Adding to 126105021 its reverse (120501621), we get a palindrome (246606642).

The spelling of 126105021 in words is "one hundred twenty-six million, one hundred five thousand, twenty-one".

Divisors: 1 3 7 9 21 23 29 63 69 87 161 203 207 261 483 609 667 1449 1827 2001 3001 4669 6003 9003 14007 21007 27009 42021 63021 69023 87029 189063 207069 261087 483161 609203 621207 783261 1449483 1827609 2001667 4348449 5482827 6005001 14011669 18015003 42035007 126105021