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21123311332112 = 2411598572373649
BaseRepresentation
bin1001100110110001001110…
…11101111110101100010000
32202210100221212220122100022
410303120213131332230100
510232041020200111422
6112531525410243012
74310052226553543
oct463304735765420
982710855818308
1021123311332112
116804389621960
122451a0a286468
13ba2bc57b5c42
145305336d685a
152696ec143342
hex13362777eb10

21123311332112 has 80 divisors (see below), whose sum is σ = 45456726744000. Its totient is φ = 9427750072320.

The previous prime is 21123311332037. The next prime is 21123311332127.

21123311332112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7712264 + ... + 10085912.

It is an arithmetic number, because the mean of its divisors is an integer number (568209084300).

Almost surely, 221123311332112 is an apocalyptic number.

21123311332112 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 21123311332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728363372000).

21123311332112 is an abundant number, since it is smaller than the sum of its proper divisors (24333415411888).

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

21123311332112 is a wasteful number, since it uses less digits than its factorization.

21123311332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374584 (or 2374578 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 2112331 and 1332112, that added together give a palindrome (3444443).

The spelling of 21123311332112 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 857 944 1298 1714 2596 3428 5192 6856 9427 10384 13712 18854 37708 50563 75416 101126 150832 202252 404504 556193 809008 1112386 2224772 2373649 4449544 4747298 8899088 9494596 18989192 26110139 37978384 52220278 104440556 140045291 208881112 280090582 417762224 560181164 1120362328 1540498201 2034217193 2240724656 3080996402 4068434386 6161992804 8136868772 12323985608 16273737544 22376389123 24647971216 32547475088 44752778246 89505556492 120018814387 179011112984 240037628774 358022225968 480075257548 960150515096 1320206958257 1920301030192 2640413916514 5280827833028 10561655666056 21123311332112