Search a number
-
+
1000200012 = 223742128283
BaseRepresentation
bin111011100111011…
…101011101001100
32120201001102110220
4323213131131030
54022022400022
6243125431340
733533363010
oct7347353514
92521042426
101000200012
11473650089
1223ab6b550
1312c2aa236
1496ba0540
155cc2085c
hex3b9dd74c

1000200012 has 48 divisors (see below), whose sum is σ = 2673629952. Its totient is φ = 285082560.

The previous prime is 1000200001. The next prime is 1000200013. The reversal of 1000200012 is 2100020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1000200013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21223 + ... + 49505.

It is an arithmetic number, because the mean of its divisors is an integer number (55700624).

Almost surely, 21000200012 is an apocalyptic number.

1000200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000200012 is an abundant number, since it is smaller than the sum of its proper divisors (1673429940).

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

1000200012 is a wasteful number, since it uses less digits than its factorization.

1000200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28718 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000200012 is about 31625.9389109636. The cubic root of 1000200012 is about 1000.0666662222.

Adding to 1000200012 its reverse (2100020001), we get a palindrome (3100220013).

It can be divided in two parts, 100020001 and 2, that multiplied together give a palindrome (200040002).

The spelling of 1000200012 in words is "one billion, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 421 842 1263 1684 2526 2947 5052 5894 8841 11788 17682 28283 35364 56566 84849 113132 169698 197981 339396 395962 593943 791924 1187886 2375772 11907143 23814286 35721429 47628572 71442858 83350001 142885716 166700002 250050003 333400004 500100006 1000200012