Search a number
-
+
210021220002 = 23112827349801
BaseRepresentation
bin1100001110011000111…
…1010111111010100010
3202002002201222101222210
43003212033113322202
511420110413020002
6240252111342550
721113343625566
oct3034617277242
9662081871883
10210021220002
118108455a100
1234853821a56
1316a60529159
14a244da96a6
1556e312496c
hex30e63d7ea2

210021220002 has 48 divisors (see below), whose sum is σ = 462259145376. Its totient is φ = 63565656000.

The previous prime is 210021219997. The next prime is 210021220007. The reversal of 210021220002 is 200022120012.

It is an interprime number because it is at equal distance from previous prime (210021219997) and next prime (210021220007).

It is a super-2 number, since 2×2100212200022 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210021220002.

It is not an unprimeable number, because it can be changed into a prime (210021220007) 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, 425502 + ... + 775302.

It is an arithmetic number, because the mean of its divisors is an integer number (9630398862).

Almost surely, 2210021220002 is an apocalyptic number.

210021220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231129572688).

210021220002 is an abundant number, since it is smaller than the sum of its proper divisors (252237925374).

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

210021220002 is a wasteful number, since it uses less digits than its factorization.

210021220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350655 (or 350644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210021220002 its reverse (200022120012), we get a palindrome (410043340014).

The spelling of 210021220002 in words is "two hundred ten billion, twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 827 1654 2481 4962 9097 18194 27291 54582 100067 200134 300201 349801 600402 699602 1049403 2098806 3847811 7695622 11543433 23086866 42325921 84651842 126977763 253955526 289285427 578570854 867856281 1735712562 3182139697 6364279394 9546419091 19092838182 35003536667 70007073334 105010610001 210021220002