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4122100 = 225241221
BaseRepresentation
bin1111101110010111110100
321202102110101
433232113310
52023401400
6224203444
750015533
oct17562764
97672411
104122100
112365aa4
121469584
13b14318
1479431a
1556656a
hex3ee5f4

4122100 has 18 divisors (see below), whose sum is σ = 8945174. Its totient is φ = 1648800.

The previous prime is 4122077. The next prime is 4122103. The reversal of 4122100 is 12214.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 4104676 = 132^2 + 2026^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20511 + ... + 20710.

Almost surely, 24122100 is an apocalyptic number.

It is an amenable number.

4122100 is an abundant number, since it is smaller than the sum of its proper divisors (4823074).

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

4122100 is a wasteful number, since it uses less digits than its factorization.

4122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41235 (or 41228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4122100 is about 2030.2955449885. The cubic root of 4122100 is about 160.3391244584.

Adding to 4122100 its reverse (12214), we get a palindrome (4134314).

The spelling of 4122100 in words is "four million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41221 82442 164884 206105 412210 824420 1030525 2061050 4122100