Search a number
-
+
1002012312 = 23375964359
BaseRepresentation
bin111011101110010…
…111111010011000
32120211110111111010
4323232113322120
54023003343222
6243232333520
733554651460
oct7356277230
92524414433
101002012312
11474678754
1223b6a42a0
1312c7930c2
1497112ba0
155ce7c80c
hex3bb97e98

1002012312 has 32 divisors (see below), whose sum is σ = 2862892800. Its totient is φ = 286289184.

The previous prime is 1002012311. The next prime is 1002012337. The reversal of 1002012312 is 2132102001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012311) 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 7 ways as a sum of consecutive naturals, for example, 2982012 + ... + 2982347.

It is an arithmetic number, because the mean of its divisors is an integer number (89465400).

Almost surely, 21002012312 is an apocalyptic number.

1002012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002012312 is an abundant number, since it is smaller than the sum of its proper divisors (1860880488).

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

1002012312 is a wasteful number, since it uses less digits than its factorization.

1002012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964375 (or 5964371 counting only the distinct ones).

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

The square root of 1002012312 is about 31654.5780575259. The cubic root of 1002012312 is about 1000.6703212357.

Adding to 1002012312 its reverse (2132102001), we get a palindrome (3134114313).

The spelling of 1002012312 in words is "one billion, two million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 5964359 11928718 17893077 23857436 35786154 41750513 47714872 71572308 83501026 125251539 143144616 167002052 250503078 334004104 501006156 1002012312