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10012221211020 = 2235732831726101
BaseRepresentation
bin1001000110110010011011…
…1000111000000110001100
31022110011021220121002122120
42101230212320320012030
52303020012112223040
633143315000012540
72052234114050160
oct221544670700614
938404256532576
1010012221211020
113210182945816
121158528761150
135781c1092a32
14268846290ca0
15125692d0c7d0
hex91b26e3818c

10012221211020 has 96 divisors (see below), whose sum is σ = 32040127881216. Its totient is φ = 2288434848000.

The previous prime is 10012221211009. The next prime is 10012221211021. The reversal of 10012221211020 is 2011212221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10012221211021) 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, 13425970 + ... + 14152070.

It is an arithmetic number, because the mean of its divisors is an integer number (333751332096).

Almost surely, 210012221211020 is an apocalyptic number.

10012221211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012221211020 is an abundant number, since it is smaller than the sum of its proper divisors (22027906670196).

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

10012221211020 is a wasteful number, since it uses less digits than its factorization.

10012221211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758951 (or 758949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012221211020 its reverse (2011212221001), we get a palindrome (12023433432021).

The spelling of 10012221211020 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 32831 65662 98493 131324 164155 196986 229817 328310 393972 459634 492465 656620 689451 726101 919268 984930 1149085 1378902 1452202 1969860 2178303 2298170 2757804 2904404 3447255 3630505 4356606 4596340 5082707 6894510 7261010 8713212 10165414 10891515 13789020 14522020 15248121 20330828 21783030 25413535 30496242 43566060 50827070 60992484 76240605 101654140 152481210 304962420 23838621931 47677243862 71515865793 95354487724 119193109655 143031731586 166870353517 238386219310 286063463172 333740707034 357579328965 476772438620 500611060551 667481414068 715158657930 834351767585 1001222121102 1430317315860 1668703535170 2002444242204 2503055302755 3337407070340 5006110605510 10012221211020