Search a number
-
+
3024210214100 = 2252241125485901
BaseRepresentation
bin101100000000100000111…
…110011011110011010100
3101201010000102001120200102
4230000200332123303110
5344022040303322400
610233145240233232
7431330514452465
oct54004076336324
911633012046612
103024210214100
11a66618908989
1240a141a6b818
1318c24954b68a
14a6530412d6c
15539eee0a9d5
hex2c020f9bcd4

3024210214100 has 36 divisors (see below), whose sum is σ = 6589766657628. Its totient is φ = 1204664640000.

The previous prime is 3024210214063. The next prime is 3024210214111. The reversal of 3024210214100 is 14120124203.

It can be written as a sum of positive squares in 6 ways, for example, as 227382107716 + 2796828106384 = 476846^2 + 1672372^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62718851 + ... + 62767050.

It is an arithmetic number, because the mean of its divisors is an integer number (183049073823).

Almost surely, 23024210214100 is an apocalyptic number.

It is an amenable number.

3024210214100 is an abundant number, since it is smaller than the sum of its proper divisors (3565556443528).

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

3024210214100 is a wasteful number, since it uses less digits than its factorization.

3024210214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125486156 (or 125486149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3024210214100 its reverse (14120124203), we get a palindrome (3038330338303).

The spelling of 3024210214100 in words is "three trillion, twenty-four billion, two hundred ten million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 125485901 250971802 501943604 627429505 1254859010 2509718020 3137147525 6274295050 12548590100 30242102141 60484204282 120968408564 151210510705 302421021410 604842042820 756052553525 1512105107050 3024210214100