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2100434100 = 2235241170767
BaseRepresentation
bin111110100110010…
…0001010010110100
312102101100002220120
41331030201102310
513300202342400
6544231331540
7103023252402
oct17514412264
95371302816
102100434100
11988705256
124a7520bb0
1327621061b
1415cd60472
15c4600ca0
hex7d3214b4

2100434100 has 72 divisors (see below), whose sum is σ = 6225518208. Its totient is φ = 546451200.

The previous prime is 2100434051. The next prime is 2100434111. The reversal of 2100434100 is 14340012.

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 2100434100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73084 + ... + 97683.

Almost surely, 22100434100 is an apocalyptic number.

2100434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100434100 is an abundant number, since it is smaller than the sum of its proper divisors (4125084108).

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

2100434100 is a wasteful number, since it uses less digits than its factorization.

2100434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170825 (or 170818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2100434100 is about 45830.4931241199. The cubic root of 2100434100 is about 1280.6673969106.

Adding to 2100434100 its reverse (14340012), we get a palindrome (2114774112).

The spelling of 2100434100 in words is "two billion, one hundred million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 170767 341534 512301 683068 853835 1024602 1707670 2049204 2561505 3415340 4269175 5123010 7001447 8538350 10246020 12807525 14002894 17076700 21004341 25615050 28005788 35007235 42008682 51230100 70014470 84017364 105021705 140028940 175036175 210043410 350072350 420086820 525108525 700144700 1050217050 2100434100