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2101102002 = 232532202413
BaseRepresentation
bin111110100111100…
…0100010110110010
312102102121001002200
41331033010112302
513300340231002
6544253524030
7103032033546
oct17517042662
95372531080
102101102002
1198902103a
124a77a3616
132763b562c
1415d095a26
15c46d3b1c
hex7d3c45b2

2101102002 has 24 divisors (see below), whose sum is σ = 4638283884. Its totient is φ = 687152544.

The previous prime is 2101101979. The next prime is 2101102013. The reversal of 2101102002 is 2002011012.

It can be written as a sum of positive squares in 2 ways, for example, as 1915025121 + 186076881 = 43761^2 + 13641^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1100253 + ... + 1102160.

Almost surely, 22101102002 is an apocalyptic number.

2101102002 is an abundant number, since it is smaller than the sum of its proper divisors (2537181882).

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

2101102002 is a wasteful number, since it uses less digits than its factorization.

2101102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202474 (or 2202471 counting only the distinct ones).

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

The square root of 2101102002 is about 45837.7792001314. The cubic root of 2101102002 is about 1280.8031259437.

Adding to 2101102002 its reverse (2002011012), we get a palindrome (4103113014).

The spelling of 2101102002 in words is "two billion, one hundred one million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 2202413 4404826 6607239 13214478 19821717 39643434 116727889 233455778 350183667 700367334 1050551001 2101102002