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1020123012 = 223175394351
BaseRepresentation
bin111100110011011…
…101011110000100
32122002112121200210
4330303131132010
54042122414022
6245120435420
734164621366
oct7463353604
92562477623
101020123012
11483918577
12245778b70
131334645ac
14996a8d36
155e858a0c
hex3ccdd784

1020123012 has 48 divisors (see below), whose sum is σ = 2567884032. Its totient is φ = 313996800.

The previous prime is 1020123001. The next prime is 1020123017. The reversal of 1020123012 is 2103210201.

It is a super-2 number, since 2×10201230122 = 2081301919223904288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020123017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36364 + ... + 57987.

It is an arithmetic number, because the mean of its divisors is an integer number (53497584).

Almost surely, 21020123012 is an apocalyptic number.

1020123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020123012 is an abundant number, since it is smaller than the sum of its proper divisors (1547761020).

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

1020123012 is a wasteful number, since it uses less digits than its factorization.

1020123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94428 (or 94426 counting only the distinct ones).

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

The square root of 1020123012 is about 31939.3646148448. The cubic root of 1020123012 is about 1006.6631741664.

Adding to 1020123012 its reverse (2103210201), we get a palindrome (3123333213).

The spelling of 1020123012 in words is "one billion, twenty million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 10812 94351 188702 283053 377404 566106 1132212 1603967 3207934 4811901 5000603 6415868 9623802 10001206 15001809 19247604 20002412 30003618 60007236 85010251 170020502 255030753 340041004 510061506 1020123012