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2100212312202 = 232731598335093
BaseRepresentation
bin11110100011111110011…
…010001010100010001010
321102210000101222202210200
4132203332122022202022
5233402213322442302
64244454010353030
7304510135050414
oct36437632124212
97383011882720
102100212312202
1173a771109214
1229b050a2b776
1312308404c224
1473917bb99b4
1539970ba481c
hex1e8fe68a88a

2100212312202 has 24 divisors (see below), whose sum is σ = 4612795081284. Its totient is φ = 690480759744.

The previous prime is 2100212312201. The next prime is 2100212312227. The reversal of 2100212312202 is 2022132120012.

2100212312202 is a `hidden beast` number, since 210 + 0 + 2 + 1 + 231 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1817699864841 + 282512447361 = 1348221^2 + 531519^2 .

It is a super-2 number, since 2×21002123122022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100212312201) 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, 799166233 + ... + 799168860.

Almost surely, 22100212312202 is an apocalyptic number.

2100212312202 is an abundant number, since it is smaller than the sum of its proper divisors (2512582769082).

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

2100212312202 is a wasteful number, since it uses less digits than its factorization.

2100212312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598335174 (or 1598335171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2100212312202 its reverse (2022132120012), we get a palindrome (4122344432214).

The spelling of 2100212312202 in words is "two trillion, one hundred billion, two hundred twelve million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 1598335093 3196670186 4795005279 9590010558 14385015837 28770031674 116678461789 233356923578 350035385367 700070770734 1050106156101 2100212312202