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2121231006 = 2321377871093
BaseRepresentation
bin111111001101111…
…0110101010011110
312110211110200220100
41332123312222132
513321013343011
6550253201530
7103365110646
oct17633665236
95424420810
102121231006
1199941a284
124b24902a6
1327a61269b
14161a15526
15c635cd56
hex7e6f6a9e

2121231006 has 48 divisors (see below), whose sum is σ = 4639671504. Its totient is φ = 700382592.

The previous prime is 2121231001. The next prime is 2121231011. The reversal of 2121231006 is 6001321212.

It is an interprime number because it is at equal distance from previous prime (2121231001) and next prime (2121231011).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121231006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121231001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940196 + ... + 1941288.

It is an arithmetic number, because the mean of its divisors is an integer number (96659823).

Almost surely, 22121231006 is an apocalyptic number.

2121231006 is an abundant number, since it is smaller than the sum of its proper divisors (2518440498).

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

2121231006 is a wasteful number, since it uses less digits than its factorization.

2121231006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2121231006 is about 46056.8236638177. The cubic root of 2121231006 is about 1284.8802557144.

Adding to 2121231006 its reverse (6001321212), we get a palindrome (8122552218).

The spelling of 2121231006 in words is "two billion, one hundred twenty-one million, two hundred thirty-one thousand, six".

Divisors: 1 2 3 6 9 18 137 274 411 787 822 1093 1233 1574 2186 2361 2466 3279 4722 6558 7083 9837 14166 19674 107819 149741 215638 299482 323457 449223 646914 860191 898446 970371 1347669 1720382 1940742 2580573 2695338 5161146 7741719 15483438 117846167 235692334 353538501 707077002 1060615503 2121231006