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213301210120 = 235191392019133
BaseRepresentation
bin1100011010100110111…
…1100010110000001000
3202101120022212011120021
43012221233202300020
511443320102210440
6241553401110224
721260542241155
oct3065157426010
9671508764507
10213301210120
1182507a77239
123540a188374
1317163c236cb
14a47685722c
15583607384a
hex31a9be2c08

213301210120 has 64 divisors (see below), whose sum is σ = 508821768000. Its totient is φ = 80248382208.

The previous prime is 213301210097. The next prime is 213301210121. The reversal of 213301210120 is 21012103312.

It is a junction number, because it is equal to n+sod(n) for n = 213301210094 and 213301210103.

It is not an unprimeable number, because it can be changed into a prime (213301210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903927 + ... + 1115206.

It is an arithmetic number, because the mean of its divisors is an integer number (7950340125).

Almost surely, 2213301210120 is an apocalyptic number.

213301210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301210120 is an abundant number, since it is smaller than the sum of its proper divisors (295520557880).

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

213301210120 is a wasteful number, since it uses less digits than its factorization.

213301210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019302 (or 2019298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213301210120 its reverse (21012103312), we get a palindrome (234313313432).

The spelling of 213301210120 in words is "two hundred thirteen billion, three hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 278 380 556 695 760 1112 1390 2641 2780 5282 5560 10564 13205 21128 26410 52820 105640 2019133 4038266 8076532 10095665 16153064 20191330 38363527 40382660 76727054 80765320 153454108 191817635 280659487 306908216 383635270 561318974 767270540 1122637948 1403297435 1534541080 2245275896 2806594870 5332530253 5613189740 10665060506 11226379480 21330121012 26662651265 42660242024 53325302530 106650605060 213301210120