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21514032012 = 223111312714591
BaseRepresentation
bin10100000010010101…
…100001001110001100
32001112100110001201110
4110002111201032030
5323030043011022
613514452212020
71361065153254
oct240225411614
961470401643
1021514032012
119140123750
12420500a010
13204b270a75
1410813dc964
1585db3800c
hex50256138c

21514032012 has 96 divisors (see below), whose sum is σ = 55396712448. Its totient is φ = 6444360000.

The previous prime is 21514031999. The next prime is 21514032037. The reversal of 21514032012 is 21023041512.

It is a self number, because there is not a number n which added to its sum of digits gives 21514032012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4683837 + ... + 4688427.

It is an arithmetic number, because the mean of its divisors is an integer number (577049088).

Almost surely, 221514032012 is an apocalyptic number.

21514032012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21514032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27698356224).

21514032012 is an abundant number, since it is smaller than the sum of its proper divisors (33882680436).

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

21514032012 is a wasteful number, since it uses less digits than its factorization.

21514032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21514032012 its reverse (21023041512), we get a palindrome (42537073524).

The spelling of 21514032012 in words is "twenty-one billion, five hundred fourteen million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 271 393 524 542 786 813 1084 1441 1572 1626 2882 2981 3252 4323 4591 5764 5962 8646 8943 9182 11924 13773 17292 17886 18364 27546 35501 35772 50501 55092 71002 101002 106503 142004 151503 202004 213006 303006 390511 426012 601421 606012 781022 1171533 1202842 1244161 1562044 1804263 2343066 2405684 2488322 3608526 3732483 4686132 4976644 6615631 7217052 7464966 13231262 13685771 14929932 19846893 26462524 27371542 39693786 41057313 54743084 79387572 82114626 162985091 164229252 325970182 488955273 651940364 977910546 1792836001 1955821092 3585672002 5378508003 7171344004 10757016006 21514032012