Search a number
-
+
1003212012 = 2231133122961
BaseRepresentation
bin111011110010111…
…100110011101100
32120220201110011110
4323302330303230
54023310241022
6243314152020
733601106235
oct7362746354
92526643143
101003212012
11475318040
1223bb82610
1312cac319a
149734608c
155d11800c
hex3bcbccec

1003212012 has 48 divisors (see below), whose sum is σ = 2561457024. Its totient is φ = 303072000.

The previous prime is 1003211981. The next prime is 1003212031. The reversal of 1003212012 is 2102123001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 32212 + ... + 55172.

It is an arithmetic number, because the mean of its divisors is an integer number (53363688).

Almost surely, 21003212012 is an apocalyptic number.

1003212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280728512).

1003212012 is an abundant number, since it is smaller than the sum of its proper divisors (1558245012).

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

1003212012 is a wasteful number, since it uses less digits than its factorization.

1003212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23310 (or 23308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003212012 is about 31673.5222544004. The cubic root of 1003212012 is about 1001.0695263722.

Adding to 1003212012 its reverse (2102123001), we get a palindrome (3105335013).

The spelling of 1003212012 in words is "one billion, three million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1986 3641 3972 7282 10923 14564 21846 22961 43692 45922 68883 91844 137766 252571 275532 505142 757713 1010284 1515426 3030852 7600091 15200182 22800273 30400364 45600546 83601001 91201092 167202002 250803003 334404004 501606006 1003212012