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1011012012 = 2232231221029
BaseRepresentation
bin111100010000101…
…101000110101100
32121110101201202100
4330100231012230
54032304341022
6244153255100
734024313613
oct7420550654
92543351670
101011012012
1147976531a
12242704490
131315c457a
14983b687a
155db591ac
hex3c42d1ac

1011012012 has 36 divisors (see below), whose sum is σ = 2666729520. Its totient is φ = 322351392.

The previous prime is 1011011999. The next prime is 1011012031. The reversal of 1011012012 is 2102101101.

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 = 1011011985 and 1011012003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609687 + ... + 611342.

It is an arithmetic number, because the mean of its divisors is an integer number (74075820).

Almost surely, 21011012012 is an apocalyptic number.

1011012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011012012 is an abundant number, since it is smaller than the sum of its proper divisors (1655717508).

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

1011012012 is a wasteful number, since it uses less digits than its factorization.

1011012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221062 (or 1221057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011012012 is about 31796.4150809490. The cubic root of 1011012012 is about 1003.6572786732.

Adding to 1011012012 its reverse (2102101101), we get a palindrome (3113113113).

It can be divided in two parts, 10110 and 12012, that added together give a palindrome (22122).

The spelling of 1011012012 in words is "one billion, eleven million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1221029 2442058 3663087 4884116 7326174 10989261 14652348 21978522 28083667 43957044 56167334 84251001 112334668 168502002 252753003 337004004 505506006 1011012012