Search a number
-
+
12002010210 = 2325133355669
BaseRepresentation
bin10110010110110000…
…00010010001100010
31010222102220021211200
423023120002101202
5144040003311320
65302540422030
7603264255261
oct131330022142
933872807750
1012002010210
1150a9904a03
1223ab547916
1311936b97b8
1481bdc25d8
154a3a1b290
hex2cb602462

12002010210 has 24 divisors (see below), whose sum is σ = 31205226780. Its totient is φ = 3200536032.

The previous prime is 12002010203. The next prime is 12002010221. The reversal of 12002010210 is 1201020021.

It can be written as a sum of positive squares in 2 ways, for example, as 10960205481 + 1041804729 = 104691^2 + 32277^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12002010192 and 12002010201.

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, 66677745 + ... + 66677924.

Almost surely, 212002010210 is an apocalyptic number.

12002010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002010210 is an abundant number, since it is smaller than the sum of its proper divisors (19203216570).

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

12002010210 is a wasteful number, since it uses less digits than its factorization.

12002010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133355682 (or 133355679 counting only the distinct ones).

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

Adding to 12002010210 its reverse (1201020021), we get a palindrome (13203030231).

The spelling of 12002010210 in words is "twelve billion, two million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 133355669 266711338 400067007 666778345 800134014 1200201021 1333556690 2000335035 2400402042 4000670070 6001005105 12002010210