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20430302411112 = 23311220113498373
BaseRepresentation
bin1001010010100110011001…
…11010101111100101101000
32200100010011220100212002020
410221103030322233211220
510134212224404123422
6111241315032104440
74206016640122536
oct451231472574550
980303156325066
1020430302411112
116567496104400
12235b642b35120
13b5275284a549
14508b90aa9156
1525668bbe195c
hex1294cceaf968

20430302411112 has 96 divisors (see below), whose sum is σ = 56169053334240. Its totient is φ = 6187920393600.

The previous prime is 20430302411093. The next prime is 20430302411117. The reversal of 20430302411112 is 21111420303402.

It is a super-2 number, since 2×204303024111122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20430302411117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090758 + ... + 7589130.

It is an arithmetic number, because the mean of its divisors is an integer number (585094305565).

Almost surely, 220430302411112 is an apocalyptic number.

20430302411112 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 20430302411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28084526667120).

20430302411112 is an abundant number, since it is smaller than the sum of its proper divisors (35738750923128).

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

20430302411112 is a wasteful number, since it uses less digits than its factorization.

20430302411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500415 (or 3500400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20430302411112 its reverse (21111420303402), we get a palindrome (41541722714514).

The spelling of 20430302411112 in words is "twenty trillion, four hundred thirty billion, three hundred two million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2011 2904 4022 6033 8044 12066 16088 22121 24132 44242 48264 66363 88484 132726 176968 243331 265452 486662 530904 729993 973324 1459986 1946648 2919972 3498373 5839944 6996746 10495119 13993492 20990238 27986984 38482103 41980476 76964206 83960952 115446309 153928412 230892618 307856824 423303133 461785236 846606266 923570472 1269909399 1693212532 2539818798 3386425064 5079637596 7035228103 10159275192 14070456206 21105684309 28140912412 42211368618 56281824824 77387509133 84422737236 154775018266 168845474472 232162527399 309550036532 464325054798 619100073064 851262600463 928650109596 1702525200926 1857300219192 2553787801389 3405050401852 5107575602778 6810100803704 10215151205556 20430302411112