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1022010012 = 2232171669951
BaseRepresentation
bin111100111010101…
…010001010011100
32122020002111011200
4330322222022130
54043113310022
6245225115500
734216641012
oct7472521234
92566074150
101022010012
11484997281
12246328b90
1313397546a
1499a3a8b2
155eaccbac
hex3ceaa29c

1022010012 has 36 divisors (see below), whose sum is σ = 2735381376. Its totient is φ = 320630400.

The previous prime is 1022010007. The next prime is 1022010047. The reversal of 1022010012 is 2100102201.

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 = 1022009976 and 1022010003.

It is a congruent number.

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, 834364 + ... + 835587.

It is an arithmetic number, because the mean of its divisors is an integer number (75982816).

Almost surely, 21022010012 is an apocalyptic number.

1022010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022010012 is an abundant number, since it is smaller than the sum of its proper divisors (1713371364).

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

1022010012 is a wasteful number, since it uses less digits than its factorization.

1022010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669978 (or 1669973 counting only the distinct ones).

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

The square root of 1022010012 is about 31968.8913164032. The cubic root of 1022010012 is about 1007.2834926075.

Adding to 1022010012 its reverse (2100102201), we get a palindrome (3122112213).

The spelling of 1022010012 in words is "one billion, twenty-two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1669951 3339902 5009853 6679804 10019706 15029559 20039412 28389167 30059118 56778334 60118236 85167501 113556668 170335002 255502503 340670004 511005006 1022010012