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2130002100 = 2232522366669
BaseRepresentation
bin111111011110101…
…0100000010110100
312111102222022120200
41332331110002310
513330240031400
6551205200500
7103532501442
oct17675240264
95442868520
102130002100
119a3370116
124b5400130
1327c393a95
14162c59b92
15c6ee1b00
hex7ef540b4

2130002100 has 54 divisors (see below), whose sum is σ = 6676376070. Its totient is φ = 568000320.

The previous prime is 2130002093. The next prime is 2130002143. The reversal of 2130002100 is 12000312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 720600336 + 1409401764 = 26844^2 + 37542^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1182435 + ... + 1184234.

Almost surely, 22130002100 is an apocalyptic number.

2130002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130002100 is an abundant number, since it is smaller than the sum of its proper divisors (4546373970).

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

2130002100 is a wasteful number, since it uses less digits than its factorization.

2130002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366689 (or 2366679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130002100 is about 46151.9457877997. The cubic root of 2130002100 is about 1286.6487740658.

Adding to 2130002100 its reverse (12000312), we get a palindrome (2142002412).

The spelling of 2130002100 in words is "two billion, one hundred thirty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2366669 4733338 7100007 9466676 11833345 14200014 21300021 23666690 28400028 35500035 42600042 47333380 59166725 71000070 85200084 106500105 118333450 142000140 177500175 213000210 236666900 355000350 426000420 532500525 710000700 1065001050 2130002100