Search a number
-
+
120002221301020 = 22589241415967261
BaseRepresentation
bin11011010010010000110001…
…110001011101110100011100
3120201220002201010112211002121
4123102100301301131310130
5111212104022123113040
61103120132011032324
734163605625011342
oct3322206161356434
9521802633484077
10120002221301020
1135266724522583
121156129913b6a4
1351c62126a8986
14218c1d2093992
15dd17ee67dc4a
hex6d2431c5dd1c

120002221301020 has 96 divisors (see below), whose sum is σ = 255958922419200. Its totient is φ = 47252549836800.

The previous prime is 120002221300993. The next prime is 120002221301029. The reversal of 120002221301020 is 20103122200021.

It is a happy number.

120002221301020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120002221300985 and 120002221301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002221301029) 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 31 ways as a sum of consecutive naturals, for example, 1784094190 + ... + 1784161450.

It is an arithmetic number, because the mean of its divisors is an integer number (2666238775200).

Almost surely, 2120002221301020 is an apocalyptic number.

120002221301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002221301020 is an abundant number, since it is smaller than the sum of its proper divisors (135956701118180).

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

120002221301020 is a wasteful number, since it uses less digits than its factorization.

120002221301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71759 (or 71757 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120002221301020 its reverse (20103122200021), we get a palindrome (140105343501041).

The spelling of 120002221301020 in words is "one hundred twenty trillion, two billion, two hundred twenty-one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 241 356 445 482 890 964 1205 1780 2410 4159 4820 8318 16636 20795 21449 41590 42898 67261 83180 85796 107245 134522 214490 269044 336305 370151 428980 672610 740302 1002319 1345220 1480604 1850755 2004638 3701510 4009276 5011595 5986229 7403020 10023190 11972458 16209901 20046380 23944916 29931145 32419802 59862290 64839604 81049505 89206391 119724580 162099010 178412782 279738499 324198020 356825564 446031955 559476998 892063910 1118953996 1398692495 1442681189 1784127820 2797384990 2885362378 5594769980 5770724756 7213405945 14426811890 24896726411 28853623780 49793452822 67416978259 99586905644 124483632055 134833956518 248967264110 269667913036 337084891295 497934528220 674169782590 1348339565180 6000111065051 12000222130102 24000444260204 30000555325255 60001110650510 120002221301020