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2141210200 = 235215170901
BaseRepresentation
bin111111110100000…
…0100011001011000
312112020001202012111
41333220010121120
513341122211300
6552245322104
7104026662223
oct17750043130
95466052174
102141210200
119a9725a08
124b9106334
132817b94ac
141645365ba
15c7ea79ba
hex7fa04658

2141210200 has 48 divisors (see below), whose sum is σ = 5011353360. Its totient is φ = 850800000.

The previous prime is 2141210191. The next prime is 2141210209. The reversal of 2141210200 is 20121412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2141210191) and next prime (2141210209).

It is a super-2 number, since 2×21412102002 = 9169562241168080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141210209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5251 + ... + 65650.

It is an arithmetic number, because the mean of its divisors is an integer number (104403195).

Almost surely, 22141210200 is an apocalyptic number.

2141210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141210200 is an abundant number, since it is smaller than the sum of its proper divisors (2870143160).

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

2141210200 is a wasteful number, since it uses less digits than its factorization.

2141210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71068 (or 71059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2141210200 is about 46273.2125532689. The cubic root of 2141210200 is about 1288.9016149600.

Adding to 2141210200 its reverse (20121412), we get a palindrome (2161331612).

The spelling of 2141210200 in words is "two billion, one hundred forty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 15100 30200 70901 141802 283604 354505 567208 709010 1418020 1772525 2836040 3545050 7090100 10706051 14180200 21412102 42824204 53530255 85648408 107060510 214121020 267651275 428242040 535302550 1070605100 2141210200