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2431421300 = 2252711337937
BaseRepresentation
bin1001000011101100…
…1000101101110100
320021110010222222202
42100323020231310
514434420440200
61041133444032
7114152511560
oct22073105564
96243128882
102431421300
1110385238a0
1257a340618
132c996a839
14190cbc6a0
15e36d11d5
hex90ec8b74

2431421300 has 144 divisors (see below), whose sum is σ = 6604660608. Its totient is φ = 754790400.

The previous prime is 2431421299. The next prime is 2431421323. The reversal of 2431421300 is 31241342.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594432 + ... + 2595368.

Almost surely, 22431421300 is an apocalyptic number.

2431421300 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 2431421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302330304).

2431421300 is an abundant number, since it is smaller than the sum of its proper divisors (4173239308).

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

2431421300 is a wasteful number, since it uses less digits than its factorization.

2431421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1299 counting only the distinct ones).

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

The square root of 2431421300 is about 49309.4443286476. Note that the first 3 decimals coincide. The cubic root of 2431421300 is about 1344.6834889528.

Adding to 2431421300 its reverse (31241342), we get a palindrome (2462662642).

It can be divided in two parts, 243142 and 1300, that added together give a palindrome (244442).

The spelling of 2431421300 in words is "two billion, four hundred thirty-one million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 337 350 385 550 674 700 770 937 1100 1348 1540 1685 1874 1925 2359 3370 3707 3748 3850 4685 4718 6559 6740 7414 7700 8425 9370 9436 10307 11795 13118 14828 16850 18535 18740 20614 23425 23590 25949 26236 32795 33700 37070 41228 46850 47180 51535 51898 58975 65590 72149 74140 92675 93700 103070 103796 117950 129745 131180 144298 163975 185350 206140 235900 257675 259490 288596 315769 327950 360745 370700 515350 518980 631538 648725 655900 721490 1030700 1263076 1297450 1442980 1578845 1803725 2210383 2594900 3157690 3473459 3607450 4420766 6315380 6946918 7214900 7894225 8841532 11051915 13893836 15788450 17367295 22103830 24314213 31576900 34734590 44207660 48628426 55259575 69469180 86836475 97256852 110519150 121571065 173672950 221038300 243142130 347345900 486284260 607855325 1215710650 2431421300