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3120100 = 225241761
BaseRepresentation
bin1011111001101111100100
312212111222021
423321233210
51244320400
6150512524
735343334
oct13715744
95774867
103120100
1118411a5
121065744
13853219
145b30c4
1541971a
hex2f9be4

3120100 has 36 divisors (see below), whose sum is σ = 6944868. Its totient is φ = 1216000.

The previous prime is 3120083. The next prime is 3120107. The reversal of 3120100 is 10213.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 1542564 = 1256^2 + 1242^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3720 + ... + 4480.

It is an arithmetic number, because the mean of its divisors is an integer number (192913).

Almost surely, 23120100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472434).

3120100 is an abundant number, since it is smaller than the sum of its proper divisors (3824768).

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

3120100 is a wasteful number, since it uses less digits than its factorization.

3120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 3120100 is about 1766.3804799646. The cubic root of 3120100 is about 146.1244326064.

Adding to 3120100 its reverse (10213), we get a palindrome (3130313).

The spelling of 3120100 in words is "three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 761 820 1025 1522 2050 3044 3805 4100 7610 15220 19025 31201 38050 62402 76100 124804 156005 312010 624020 780025 1560050 3120100