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1002100212 = 223227836117
BaseRepresentation
bin111011101110101…
…101010111110100
32120211121222001200
4323232231113310
54023014201322
6243234252500
733555465651
oct7356552764
92524558050
101002100212
114747287a3
1223b727130
1312c7c4109
1497136c28
155ce988ac
hex3bbad5f4

1002100212 has 18 divisors (see below), whose sum is σ = 2533086738. Its totient is φ = 334033392.

The previous prime is 1002100199. The next prime is 1002100219. The reversal of 1002100212 is 2120012001.

It can be written as a sum of positive squares in only one way, i.e., 788823396 + 213276816 = 28086^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002100194 and 1002100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13918023 + ... + 13918094.

It is an arithmetic number, because the mean of its divisors is an integer number (140727041).

Almost surely, 21002100212 is an apocalyptic number.

1002100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002100212 is an abundant number, since it is smaller than the sum of its proper divisors (1530986526).

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

1002100212 is a wasteful number, since it uses less digits than its factorization.

1002100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836127 (or 27836122 counting only the distinct ones).

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

The square root of 1002100212 is about 31655.9664518397. The cubic root of 1002100212 is about 1000.6995811388.

Adding to 1002100212 its reverse (2120012001), we get a palindrome (3122112213).

The spelling of 1002100212 in words is "one billion, two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27836117 55672234 83508351 111344468 167016702 250525053 334033404 501050106 1002100212