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21312155121312 = 2531120181965077
BaseRepresentation
bin1001101100010000111110…
…11011110111011010100000
32210110102101201211002200010
410312020133123313122200
510243134243202340222
6113154400252124520
74326516033356616
oct466103733673240
983412351732603
1021312155121312
116877485a60830
122482531766740
13bb795c715943
14539729c836b6
1526e5a0e6d80c
hex13621f6f76a0

21312155121312 has 48 divisors (see below), whose sum is σ = 61030262395872. Its totient is φ = 6458228824320.

The previous prime is 21312155121289. The next prime is 21312155121329.

21312155121312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21312155121312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10090981483 + ... + 10090983594.

It is an arithmetic number, because the mean of its divisors is an integer number (1271463799914).

Almost surely, 221312155121312 is an apocalyptic number.

21312155121312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21312155121312 is an abundant number, since it is smaller than the sum of its proper divisors (39718107274560).

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

21312155121312 is a wasteful number, since it uses less digits than its factorization.

21312155121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181965101 (or 20181965093 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 2131215 and 5121312, that added together give a palindrome (7252527).

The spelling of 21312155121312 in words is "twenty-one trillion, three hundred twelve billion, one hundred fifty-five million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20181965077 40363930154 60545895231 80727860308 121091790462 161455720616 222001615847 242183580924 322911441232 444003231694 484367161848 645822882464 666004847541 888006463388 968734323696 1332009695082 1776012926776 1937468647392 2664019390164 3552025853552 5328038780328 7104051707104 10656077560656 21312155121312