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21031322313012 = 223112294911417019
BaseRepresentation
bin1001100100000101111000…
…11111101110000100110100
32202110120112000100021221220
410302002330133232010310
510224034122003004022
6112421353414310340
74300314526031514
oct462027437560464
982416460307856
1021031322313012
116779374184330
1224380173583b0
13b973258927ab
14529cc859b844
1526711637285c
hex1320bc7ee134

21031322313012 has 96 divisors (see below), whose sum is σ = 53877594355200. Its totient is φ = 6332370038400.

The previous prime is 21031322312983. The next prime is 21031322313019.

21031322313012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031322313019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14133439 + ... + 15550457.

It is an arithmetic number, because the mean of its divisors is an integer number (561224941200).

Almost surely, 221031322313012 is an apocalyptic number.

21031322313012 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 21031322313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938797177600).

21031322313012 is an abundant number, since it is smaller than the sum of its proper divisors (32846272042188).

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

21031322313012 is a wasteful number, since it uses less digits than its factorization.

21031322313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417757 (or 1417755 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, 2103132 and 2313012, that added together give a palindrome (4416144).

The spelling of 21031322313012 in words is "twenty-one trillion, thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 491 687 916 982 1374 1473 1964 2519 2748 2946 5038 5401 5892 7557 10076 10802 15114 16203 21604 30228 32406 64812 112439 224878 337317 449756 674634 1236829 1349268 1417019 2473658 2834038 3710487 4251057 4947316 5668076 7420974 8502114 14841948 15587209 17004228 31174418 46761627 62348836 93523254 187046508 324497351 648994702 695756329 973492053 1297989404 1391512658 1946984106 2087268987 2783025316 3569470861 3893968212 4174537974 7138941722 7653319619 8349075948 10708412583 14277883444 15306639238 21416825166 22959958857 30613278476 42833650332 45919917714 91839835428 159328199341 318656398682 477984598023 637312797364 955969196046 1752610192751 1911938392092 3505220385502 5257830578253 7010440771004 10515661156506 21031322313012