Search a number
-
+
1000140012 = 2232191462193
BaseRepresentation
bin111011100111001…
…110110011101100
32120200221101011200
4323213032303230
54022013440022
6243124245500
733533023044
oct7347166354
92520841150
101000140012
11473609aa3
1223ab40890
1312c288b31
1496b86724
155cc0cbac
hex3b9cecec

1000140012 has 36 divisors (see below), whose sum is σ = 2661193080. Its totient is φ = 315833472.

The previous prime is 1000139983. The next prime is 1000140013. The reversal of 1000140012 is 2100410001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1000139976 and 1000140003.

It is not an unprimeable number, because it can be changed into a prime (1000140013) 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 11 ways as a sum of consecutive naturals, for example, 730413 + ... + 731780.

It is an arithmetic number, because the mean of its divisors is an integer number (73922030).

Almost surely, 21000140012 is an apocalyptic number.

1000140012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000140012 is an abundant number, since it is smaller than the sum of its proper divisors (1661053068).

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

1000140012 is a wasteful number, since it uses less digits than its factorization.

1000140012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462222 (or 1462217 counting only the distinct ones).

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

The square root of 1000140012 is about 31624.9903082989. The cubic root of 1000140012 is about 1000.0466684887.

Adding to 1000140012 its reverse (2100410001), we get a palindrome (3100550013).

The spelling of 1000140012 in words is "one billion, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1462193 2924386 4386579 5848772 8773158 13159737 17546316 26319474 27781667 52638948 55563334 83345001 111126668 166690002 250035003 333380004 500070006 1000140012