Search a number
-
+
2431124300 = 22521117912347
BaseRepresentation
bin1001000011101000…
…0000001101001100
320021102120220120202
42100322000031030
514434331434200
61041123233032
7114150133643
oct22072001514
96242526522
102431124300
111038340740
1257a218778
132c98955b7
14190c4235a
15e36731d5
hex90e8034c

2431124300 has 72 divisors (see below), whose sum is σ = 5787754560. Its totient is φ = 879035200.

The previous prime is 2431124291. The next prime is 2431124327. The reversal of 2431124300 is 34211342.

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

It is an unprimeable number.

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, 190727 + ... + 203073.

It is an arithmetic number, because the mean of its divisors is an integer number (80385480).

Almost surely, 22431124300 is an apocalyptic number.

2431124300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893877280).

2431124300 is an abundant number, since it is smaller than the sum of its proper divisors (3356630260).

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

2431124300 is a wasteful number, since it uses less digits than its factorization.

2431124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2431124300 is about 49306.4326432160. The cubic root of 2431124300 is about 1344.6287353459.

Adding to 2431124300 its reverse (34211342), we get a palindrome (2465335642).

The spelling of 2431124300 in words is "two billion, four hundred thirty-one million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 179 220 275 358 550 716 895 1100 1790 1969 3580 3938 4475 7876 8950 9845 12347 17900 19690 24694 39380 49225 49388 61735 98450 123470 135817 196900 246940 271634 308675 543268 617350 679085 1234700 1358170 2210113 2716340 3395425 4420226 6790850 8840452 11050565 13581700 22101130 24311243 44202260 48622486 55252825 97244972 110505650 121556215 221011300 243112430 486224860 607781075 1215562150 2431124300