Search a number
-
+
12002012010 = 2325367363367
BaseRepresentation
bin10110010110110000…
…00010101101101010
31010222102220101022100
423023120002231222
5144040003341020
65302540434230
7603264263442
oct131330025552
933872811270
1012002012010
1150a990629a
1223ab548976
1311936ba571
1481bdc3122
154a3a1ba90
hex2cb602b6a

12002012010 has 48 divisors (see below), whose sum is σ = 31290345216. Its totient is φ = 3191806944.

The previous prime is 12002011993. The next prime is 12002012027. The reversal of 12002012010 is 1021020021.

Adding to 12002012010 its reverse (1021020021), we get a palindrome (13023032031).

It is an interprime number because it is at equal distance from previous prime (12002011993) and next prime (12002012027).

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 = 12002011983 and 12002012001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148654 + ... + 214713.

It is an arithmetic number, because the mean of its divisors is an integer number (651882192).

Almost surely, 212002012010 is an apocalyptic number.

12002012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002012010 is an abundant number, since it is smaller than the sum of its proper divisors (19288333206).

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

12002012010 is a wasteful number, since it uses less digits than its factorization.

12002012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363747 (or 363744 counting only the distinct ones).

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

The spelling of 12002012010 in words is "twelve billion, two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 367 734 1101 1835 2202 3303 3670 5505 6606 11010 16515 33030 363367 726734 1090101 1816835 2180202 3270303 3633670 5450505 6540606 10901010 16351515 32703030 133355689 266711378 400067067 666778445 800134134 1200201201 1333556890 2000335335 2400402402 4000670670 6001006005 12002012010