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2130403100 = 2252710130133
BaseRepresentation
bin111111011111011…
…0101111100011100
312111110201200122112
41332332311330130
513330340344400
6551221533152
7103536061520
oct17676657434
95443650575
102130403100
119a3614421
124b55741b8
1327c4a4467
14162d21d80
15c7070835
hex7efb5f1c

2130403100 has 72 divisors (see below), whose sum is σ = 5335887648. Its totient is φ = 723168000.

The previous prime is 2130403073. The next prime is 2130403109. The reversal of 2130403100 is 13040312.

It is a super-2 number, since 2×21304031002 = 9077234736979220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130403109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55634 + ... + 85766.

Almost surely, 22130403100 is an apocalyptic number.

2130403100 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 2130403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667943824).

2130403100 is an abundant number, since it is smaller than the sum of its proper divisors (3205484548).

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

2130403100 is a wasteful number, since it uses less digits than its factorization.

2130403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30255 (or 30248 counting only the distinct ones).

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

The square root of 2130403100 is about 46156.2899288927. The cubic root of 2130403100 is about 1286.7295116676.

Adding to 2130403100 its reverse (13040312), we get a palindrome (2143443412).

The spelling of 2130403100 in words is "two billion, one hundred thirty million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 30133 35350 60266 70700 120532 150665 210931 301330 421862 602660 753325 843724 1054655 1506650 2109310 3013300 3043433 4218620 5273275 6086866 10546550 12173732 15217165 21093100 21304031 30434330 42608062 60868660 76085825 85216124 106520155 152171650 213040310 304343300 426080620 532600775 1065201550 2130403100