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10012323320020 = 2257223894276541
BaseRepresentation
bin1001000110110010110011…
…1110011001000011010100
31022110011120000201202212101
42101230230332121003110
52303020214232220040
633143333044331444
72052236464005100
oct221545476310324
938404500652771
1010012323320020
11321022554781a
1211585569a3b84
13578209294468
14268855a70900
1512569bc7c09a
hex91b2cf990d4

10012323320020 has 72 divisors (see below), whose sum is σ = 24468919299720. Its totient is φ = 3431358846720.

The previous prime is 10012323320011. The next prime is 10012323320089. The reversal of 10012323320020 is 2002332321001.

It can be written as a sum of positive squares in 4 ways, for example, as 667600116624 + 9344723203396 = 817068^2 + 3056914^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10012323320020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202950 + ... + 4479490.

It is an arithmetic number, because the mean of its divisors is an integer number (339846101385).

Almost surely, 210012323320020 is an apocalyptic number.

10012323320020 is a gapful number since it is divisible by the number (10) 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 10012323320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234459649860).

10012323320020 is an abundant number, since it is smaller than the sum of its proper divisors (14456595979700).

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

10012323320020 is a wasteful number, since it uses less digits than its factorization.

10012323320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278953 (or 4278944 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10012323320020 its reverse (2002332321001), we get a palindrome (12014655641021).

The spelling of 10012323320020 in words is "ten trillion, twelve billion, three hundred twenty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2389 4778 9556 11945 16723 23890 33446 47780 66892 83615 117061 167230 234122 334460 468244 585305 1170610 2341220 4276541 8553082 17106164 21382705 29935787 42765410 59871574 85530820 119743148 149678935 209550509 299357870 419101018 598715740 838202036 1047752545 2095505090 4191010180 10216656449 20433312898 40866625796 51083282245 71516595143 102166564490 143033190286 204333128980 286066380572 357582975715 500616166001 715165951430 1001232332002 1430331902860 2002464664004 2503080830005 5006161660010 10012323320020