Search a number
-
+
2102001132 = 2237112274893
BaseRepresentation
bin111110101001001…
…1111110111101100
312102111021201110210
41331102133313230
513301103014012
6544325102420
7103042500120
oct17522376754
95374251423
102102001132
11989585620
124a7b57a10
1327663b96a
1415d24b580
15c481023c
hex7d49fdec

2102001132 has 48 divisors (see below), whose sum is σ = 6114915072. Its totient is φ = 545974080.

The previous prime is 2102001067. The next prime is 2102001137. The reversal of 2102001132 is 2311002012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102001137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136523 + ... + 1138370.

It is an arithmetic number, because the mean of its divisors is an integer number (127394064).

Almost surely, 22102001132 is an apocalyptic number.

2102001132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102001132 is an abundant number, since it is smaller than the sum of its proper divisors (4012913940).

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

2102001132 is a wasteful number, since it uses less digits than its factorization.

2102001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274918 (or 2274916 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2102001132 is about 45847.5858906442. The cubic root of 2102001132 is about 1280.9857990176.

Adding to 2102001132 its reverse (2311002012), we get a palindrome (4413003144).

The spelling of 2102001132 in words is "two billion, one hundred two million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2274893 4549786 6824679 9099572 13649358 15924251 25023823 27298716 31848502 47772753 50047646 63697004 75071469 95545506 100095292 150142938 175166761 191091012 300285876 350333522 525500283 700667044 1051000566 2102001132