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21303211230312 = 23311435335407627
BaseRepresentation
bin1001101100000000010100…
…10101101000010001101000
32210102120022102022100201220
410312000022111220101220
510243012434033332222
6113150320553342040
74326051301505634
oct466001225502150
983376272270656
1021303211230312
116873706403080
122480856407920
13bb6b6577c54b
1453911c0b5dc4
1526e22ab76b5c
hex13600a568468

21303211230312 has 128 divisors (see below), whose sum is σ = 60572537372160. Its totient is φ = 6186420414720.

The previous prime is 21303211230299. The next prime is 21303211230331.

21303211230312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17102158 + ... + 18305469.

It is an arithmetic number, because the mean of its divisors is an integer number (473222948220).

Almost surely, 221303211230312 is an apocalyptic number.

21303211230312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21303211230312 is an abundant number, since it is smaller than the sum of its proper divisors (39269326141848).

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

21303211230312 is a wasteful number, since it uses less digits than its factorization.

21303211230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35407743 (or 35407739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2130321 and 1230312, that added together give a palindrome (3360633).

The spelling of 21303211230312 in words is "twenty-one trillion, three hundred three billion, two hundred eleven million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 53 66 86 88 106 129 132 159 172 212 258 264 318 344 424 473 516 583 636 946 1032 1166 1272 1419 1749 1892 2279 2332 2838 3498 3784 4558 4664 5676 6837 6996 9116 11352 13674 13992 18232 25069 27348 50138 54696 75207 100276 150414 200552 300828 601656 35407627 70815254 106222881 141630508 212445762 283261016 389483897 424891524 778967794 849783048 1168451691 1522527961 1557935588 1876604231 2336903382 3045055922 3115871176 3753208462 4567583883 4673806764 5629812693 6090111844 7506416924 9135167766 9347613528 11259625386 12180223688 15012833848 16747807571 18270335532 20642646541 22519250772 33495615142 36540671064 41285293082 45038501544 50243422713 61927939623 66991230284 80693981933 82570586164 100486845426 123855879246 133982460568 161387963866 165141172328 200973690852 242081945799 247711758492 322775927732 401947381704 484163891598 495423516984 645551855464 887633801263 968327783196 1775267602526 1936655566392 2662901403789 3550535205052 5325802807578 7101070410104 10651605615156 21303211230312