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1012332012 = 223534793323
BaseRepresentation
bin111100010101101…
…111010111101100
32121112212210110020
4330111233113230
54033124111022
6244241442140
734041452166
oct7425572754
92545783406
101012332012
1147a48702a
12243040350
13131967333
149863b936
155dd1a35c
hex3c56f5ec

1012332012 has 48 divisors (see below), whose sum is σ = 2412426240. Its totient is φ = 330286528.

The previous prime is 1012332007. The next prime is 1012332017. The reversal of 1012332012 is 2102332101.

It is an interprime number because it is at equal distance from previous prime (1012332007) and next prime (1012332017).

It is a super-2 number, since 2×10123320122 = 2049632205039936288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012331982 and 1012332000.

It is not an unprimeable number, because it can be changed into a prime (1012332017) 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, 302983 + ... + 306305.

It is an arithmetic number, because the mean of its divisors is an integer number (50258880).

Almost surely, 21012332012 is an apocalyptic number.

1012332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012332012 is an abundant number, since it is smaller than the sum of its proper divisors (1400094228).

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

1012332012 is a wasteful number, since it uses less digits than its factorization.

1012332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1012332012 is about 31817.1653671411. The cubic root of 1012332012 is about 1004.0938878776.

Adding to 1012332012 its reverse (2102332101), we get a palindrome (3114664113).

The spelling of 1012332012 in words is "one billion, twelve million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 479 636 958 1437 1916 2874 3323 5748 6646 9969 13292 19938 25387 39876 50774 76161 101548 152322 176119 304644 352238 528357 704476 1056714 1591717 2113428 3183434 4775151 6366868 9550302 19100604 84361001 168722002 253083003 337444004 506166006 1012332012