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3012100 = 2252713331
BaseRepresentation
bin1011011111011000000100
312200000211021
423133120010
51232341400
6144320524
734413430
oct13373004
95600737
103012100
111778043
121013144
13816010
145859c0
153e771a
hex2df604

3012100 has 72 divisors (see below), whose sum is σ = 8068928. Its totient is φ = 950400.

The previous prime is 3012073. The next prime is 3012101. The reversal of 3012100 is 12103.

3012100 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (3012101) 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 23 ways as a sum of consecutive naturals, for example, 8935 + ... + 9265.

Almost surely, 23012100 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 3012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034464).

3012100 is an abundant number, since it is smaller than the sum of its proper divisors (5056828).

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

3012100 is a wasteful number, since it uses less digits than its factorization.

3012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

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

The square root of 3012100 is about 1735.5402617053. The cubic root of 3012100 is about 144.4185993645.

Adding to 3012100 its reverse (12103), we get a palindrome (3024203).

It can be divided in two parts, 301 and 2100, that added together give a 4-th power (2401 = 74).

The spelling of 3012100 in words is "three million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 331 350 364 455 650 662 700 910 1300 1324 1655 1820 2275 2317 3310 4303 4550 4634 6620 8275 8606 9100 9268 11585 16550 17212 21515 23170 30121 33100 43030 46340 57925 60242 86060 107575 115850 120484 150605 215150 231700 301210 430300 602420 753025 1506050 3012100