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23312311321332 = 223111311619832709
BaseRepresentation
bin1010100110011110100100…
…00010010000001011110100
310001112122011001120201210010
411103033102002100023310
511023422103144240312
6121325310013100220
74624154543506425
oct523172202201364
9101478131521703
1023312311321332
117478771a98a40
1227460b9a87670
131001459439c57
145a847139364c
152a6617a0293c
hex1533d20902f4

23312311321332 has 96 divisors (see below), whose sum is σ = 59830413350400. Its totient is φ = 7006072028800.

The previous prime is 23312311321331. The next prime is 23312311321391.

23312311321332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23312311321332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312311321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27579394 + ... + 28412102.

It is an arithmetic number, because the mean of its divisors is an integer number (623233472400).

Almost surely, 223312311321332 is an apocalyptic number.

23312311321332 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 23312311321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29915206675200).

23312311321332 is an abundant number, since it is smaller than the sum of its proper divisors (36518102029068).

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

23312311321332 is a wasteful number, since it uses less digits than its factorization.

23312311321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834477 (or 834475 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2331231 and 1321332, that added together give a palindrome (3652563).

The spelling of 23312311321332 in words is "twenty-three trillion, three hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 1619 2882 3238 4323 4857 5764 6476 8646 9714 17292 17809 19428 35618 53427 71236 106854 212089 213708 424178 636267 832709 848356 1272534 1665418 2332979 2498127 2545068 3330836 4665958 4996254 6998937 9159799 9331916 9992508 13997874 18319598 27479397 27995748 36639196 54958794 109084879 109917588 218169758 327254637 436339516 654509274 1199933669 1309018548 1348155871 2399867338 2696311742 3599801007 4044467613 4799734676 5392623484 7199602014 8088935226 14399204028 14829714581 16177870452 29659429162 44489143743 59318858324 88978287486 176608419101 177956574972 353216838202 529825257303 706433676404 1059650514606 1942692610111 2119301029212 3885385220222 5828077830333 7770770440444 11656155660666 23312311321332