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2102212100 = 225267313763
BaseRepresentation
bin111110101001101…
…0011011000000100
312102111200102212102
41331103103120010
513301131241400
6544333411232
7103044336152
oct17523233004
95374612772
102102212100
1198970a07a
124a8039b18
132766b39b1
1415d2a43d2
15c48529d5
hex7d4d3604

2102212100 has 36 divisors (see below), whose sum is σ = 4629901584. Its totient is φ = 828331680.

The previous prime is 2102212043. The next prime is 2102212109. The reversal of 2102212100 is 12122012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102212109) 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, 150182 + ... + 163581.

Almost surely, 22102212100 is an apocalyptic number.

2102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102212100 is an abundant number, since it is smaller than the sum of its proper divisors (2527689484).

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

2102212100 is a wasteful number, since it uses less digits than its factorization.

2102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313844 (or 313837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2102212100 is about 45849.8865865555. The cubic root of 2102212100 is about 1281.0286530972.

Adding to 2102212100 its reverse (12122012), we get a palindrome (2114334112).

The spelling of 2102212100 in words is "two billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 313763 627526 1255052 1568815 3137630 6275260 7844075 15688150 21022121 31376300 42044242 84088484 105110605 210221210 420442420 525553025 1051106050 2102212100