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1321110012 = 2233137531811
BaseRepresentation
bin100111010111110…
…1000100111111100
310102001220100020110
41032233220213330
510201201010022
6335031550020
744511151455
oct11657504774
93361810213
101321110012
11618806562
1230a52b310
13180919701
14c765812c
157aeb000c
hex4ebe89fc

1321110012 has 96 divisors (see below), whose sum is σ = 3331528704. Its totient is φ = 406598400.

The previous prime is 1321109989. The next prime is 1321110017. The reversal of 1321110012 is 2100111231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1321110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321110017) 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 31 ways as a sum of consecutive naturals, for example, 728587 + ... + 730397.

It is an arithmetic number, because the mean of its divisors is an integer number (34703424).

Almost surely, 21321110012 is an apocalyptic number.

1321110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321110012 is an abundant number, since it is smaller than the sum of its proper divisors (2010418692).

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

1321110012 is a wasteful number, since it uses less digits than its factorization.

1321110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

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

The square root of 1321110012 is about 36347.0770764308. The cubic root of 1321110012 is about 1097.2687092405.

Adding to 1321110012 its reverse (2100111231), we get a palindrome (3421221243).

The spelling of 1321110012 in words is "one billion, three hundred twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 31 37 53 62 74 93 106 111 124 148 159 186 212 222 318 372 444 636 1147 1643 1811 1961 2294 3286 3441 3622 3922 4588 4929 5433 5883 6572 6882 7244 7844 9858 10866 11766 13764 19716 21732 23532 56141 60791 67007 95983 112282 121582 134014 168423 182373 191966 201021 224564 243164 268028 287949 336846 364746 383932 402042 575898 673692 729492 804084 1151796 2077217 2975473 3551371 4154434 5950946 6231651 7102742 8308868 8926419 10654113 11901892 12463302 14205484 17852838 21308226 24926604 35705676 42616452 110092501 220185002 330277503 440370004 660555006 1321110012