Search a number
-
+
3310020100 = 2252149222149
BaseRepresentation
bin1100010101001010…
…1110011000000100
322112200101102222001
43011102232120010
523234331120400
61304241115044
7145011464242
oct30522563004
98480342861
103310020100
111449469102
12784628a84
134099b009a
14235867792
151458d1a6a
hexc54ae604

3310020100 has 36 divisors (see below), whose sum is σ = 7230982500. Its totient is φ = 1315116160.

The previous prime is 3310020097. The next prime is 3310020151. The reversal of 3310020100 is 10200133.

It can be written as a sum of positive squares in 6 ways, for example, as 476374276 + 2833645824 = 21826^2 + 53232^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96175 + ... + 125974.

It is an arithmetic number, because the mean of its divisors is an integer number (200860625).

Almost surely, 23310020100 is an apocalyptic number.

It is an amenable number.

3310020100 is an abundant number, since it is smaller than the sum of its proper divisors (3920962400).

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

3310020100 is a wasteful number, since it uses less digits than its factorization.

3310020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222312 (or 222305 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3310020100 is about 57532.7741378773. The cubic root of 3310020100 is about 1490.3108970937.

Adding to 3310020100 its reverse (10200133), we get a palindrome (3320220233).

The spelling of 3310020100 in words is "three billion, three hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 222149 444298 888596 1110745 2221490 4442980 5553725 11107450 22214900 33100201 66200402 132400804 165501005 331002010 662004020 827505025 1655010050 3310020100