Search a number
-
+
1020012012 = 223229977023
BaseRepresentation
bin111100110011000…
…010010111101100
32122002022222102200
4330303002113230
54042110341022
6245114221500
734163646645
oct7463022754
92562288380
101020012012
11483852138
12245724890
13133425c06
149967a6cc
155e835bac
hex3ccc25ec

1020012012 has 36 divisors (see below), whose sum is σ = 2667275520. Its totient is φ = 328279392.

The previous prime is 1020011999. The next prime is 1020012013. The reversal of 1020012012 is 2102100201.

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).

1020012012 is a modest number, since divided by 12012 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020011985 and 1020012003.

It is not an unprimeable number, because it can be changed into a prime (1020012013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487468 + ... + 489555.

Almost surely, 21020012012 is an apocalyptic number.

1020012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020012012 is an abundant number, since it is smaller than the sum of its proper divisors (1647263508).

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

1020012012 is a wasteful number, since it uses less digits than its factorization.

1020012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977062 (or 977057 counting only the distinct ones).

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

The square root of 1020012012 is about 31937.6268999436. The cubic root of 1020012012 is about 1006.6266610322.

Adding to 1020012012 its reverse (2102100201), we get a palindrome (3122112213).

The spelling of 1020012012 in words is "one billion, twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 977023 1954046 2931069 3908092 5862138 8793207 11724276 17586414 28333667 35172828 56667334 85001001 113334668 170002002 255003003 340004004 510006006 1020012012