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2130223100 = 2252157241563
BaseRepresentation
bin111111011111000…
…1001111111111100
312111110101112201212
41332332021333330
513330314114400
6551214023552
7103534411655
oct17676117774
95443345655
102130223100
119a3501165
124b54a7bb8
1327c440555
14162cb652c
15c7037335
hex7ef89ffc

2130223100 has 72 divisors (see below), whose sum is σ = 4679627568. Its totient is φ = 841651200.

The previous prime is 2130223093. The next prime is 2130223141. The reversal of 2130223100 is 13220312.

It is a happy number.

It is a super-2 number, since 2×21302231002 = 9075700911547220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3783419 + ... + 3783981.

Almost surely, 22130223100 is an apocalyptic number.

2130223100 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 2130223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339813784).

2130223100 is an abundant number, since it is smaller than the sum of its proper divisors (2549404468).

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

2130223100 is a wasteful number, since it uses less digits than its factorization.

2130223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130223100 is about 46154.3399909478. The cubic root of 2130223100 is about 1286.6932716033.

Adding to 2130223100 its reverse (13220312), we get a palindrome (2143443412).

The spelling of 2130223100 in words is "two billion, one hundred thirty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 241 314 482 563 628 785 964 1126 1205 1570 2252 2410 2815 3140 3925 4820 5630 6025 7850 11260 12050 14075 15700 24100 28150 37837 56300 75674 88391 135683 151348 176782 189185 271366 353564 378370 441955 542732 678415 756740 883910 945925 1356830 1767820 1891850 2209775 2713660 3392075 3783700 4419550 6784150 8839100 13568300 21302231 42604462 85208924 106511155 213022310 426044620 532555775 1065111550 2130223100