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2121002100 = 2232527336667
BaseRepresentation
bin111111001101011…
…1110110001110100
312110211001001220100
41332122332301310
513320434031400
6550244234100
7103363135410
oct17632766164
95424031810
102121002100
119992832a8
124b239b930
1327a562439
14161995d40
15c6315100
hex7e6bec74

2121002100 has 108 divisors (see below), whose sum is σ = 7597923424. Its totient is φ = 484799040.

The previous prime is 2121002077. The next prime is 2121002101. The reversal of 2121002100 is 12001212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121002101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162034 + ... + 174633.

Almost surely, 22121002100 is an apocalyptic number.

2121002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121002100 is an abundant number, since it is smaller than the sum of its proper divisors (5476921324).

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

2121002100 is a wasteful number, since it uses less digits than its factorization.

2121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336694 (or 336684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2121002100 is about 46054.3385578384. The cubic root of 2121002100 is about 1284.8340361090.

Adding to 2121002100 its reverse (12001212), we get a palindrome (2133003312).

The spelling of 2121002100 in words is "two billion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 336667 673334 1010001 1346668 1683335 2020002 2356669 3030003 3366670 4040004 4713338 5050005 6060006 6733340 7070007 8416675 9426676 10100010 11783345 12120012 14140014 15150015 16833350 20200020 21210021 23566690 25250025 28280028 30300030 33666700 35350035 42420042 47133380 50500050 58916725 60600060 70700070 75750075 84840084 101000100 106050105 117833450 141400140 151500150 176750175 212100210 235666900 303000300 353500350 424200420 530250525 707000700 1060501050 2121002100