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12213200141010 = 232511117110535069
BaseRepresentation
bin1011000110111001101101…
…1101001011101011010010
31121020120101220202102121100
42301232123131023223102
53100100113214003020
641550400001005230
72400242325216441
oct261563335135322
947216356672540
1012213200141010
11398965309a350
121453000023816
136a79136b6c8b
1430319cc46d58
15162a6017ca90
hexb1b9b74bad2

12213200141010 has 96 divisors (see below), whose sum is σ = 34670662528320. Its totient is φ = 2958247094400.

The previous prime is 12213200140993. The next prime is 12213200141017. The reversal of 12213200141010 is 1014100231221.

12213200141010 is a `hidden beast` number, since 1 + 221 + 3 + 20 + 0 + 1 + 410 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12213200141017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4108245 + ... + 6426824.

It is an arithmetic number, because the mean of its divisors is an integer number (361152734670).

Almost surely, 212213200141010 is an apocalyptic number.

12213200141010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12213200141010 is an abundant number, since it is smaller than the sum of its proper divisors (22457462387310).

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

12213200141010 is a wasteful number, since it uses less digits than its factorization.

12213200141010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536264 (or 10536261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12213200141010 its reverse (1014100231221), we get a palindrome (13227300372231).

The spelling of 12213200141010 in words is "twelve trillion, two hundred thirteen billion, two hundred million, one hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1171 2342 3513 5855 7026 10539 11710 12881 17565 21078 25762 35130 38643 52695 64405 77286 105390 115929 128810 193215 231858 386430 579645 1159290 10535069 21070138 31605207 52675345 63210414 94815621 105350690 115885759 158026035 189631242 231771518 316052070 347657277 474078105 579428795 695314554 948156210 1042971831 1158857590 1738286385 2085943662 3476572770 5214859155 10429718310 12336565799 24673131598 37009697397 61682828995 74019394794 111029092191 123365657990 135702223789 185048486985 222058184382 271404447578 370096973970 407106671367 555145460955 678511118945 814213342734 1110290921910 1221320014101 1357022237890 2035533356835 2442640028202 4071066713670 6106600070505 12213200141010