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2130411300 = 22352471391087
BaseRepresentation
bin111111011111011…
…0111111100100100
312111110202002220020
41332332313330210
513330341130200
6551222035140
7103536124443
oct17676677444
95443662806
102130411300
119a361a5a6
124b5578ab0
1327c4a8104
14162d24d5a
15c7072ea0
hex7efb7f24

2130411300 has 144 divisors (see below), whose sum is σ = 6346260480. Its totient is φ = 551514240.

The previous prime is 2130411299. The next prime is 2130411323. The reversal of 2130411300 is 31140312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130411300.

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, 1959357 + ... + 1960443.

Almost surely, 22130411300 is an apocalyptic number.

2130411300 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 2130411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173130240).

2130411300 is an abundant number, since it is smaller than the sum of its proper divisors (4215849180).

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

2130411300 is a wasteful number, since it uses less digits than its factorization.

2130411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2130411300 is about 46156.3787574372. The cubic root of 2130411300 is about 1286.7311625552.

Adding to 2130411300 its reverse (31140312), we get a palindrome (2161551612).

The spelling of 2130411300 in words is "two billion, one hundred thirty million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 139 141 150 188 235 278 282 300 417 470 556 564 695 705 834 940 1087 1175 1390 1410 1668 2085 2174 2350 2780 2820 3261 3475 3525 4170 4348 4700 5435 6522 6533 6950 7050 8340 10425 10870 13044 13066 13900 14100 16305 19599 20850 21740 26132 27175 32610 32665 39198 41700 51089 54350 65220 65330 78396 81525 97995 102178 108700 130660 151093 153267 163050 163325 195990 204356 255445 302186 306534 326100 326650 391980 453279 489975 510890 604372 613068 653300 755465 766335 906558 979950 1021780 1277225 1510930 1532670 1813116 1959900 2266395 2554450 3021860 3065340 3777325 3831675 4532790 5108900 7101371 7554650 7663350 9065580 11331975 14202742 15109300 15326700 21304113 22663950 28405484 35506855 42608226 45327900 71013710 85216452 106520565 142027420 177534275 213041130 355068550 426082260 532602825 710137100 1065205650 2130411300