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203211102120 = 233513130263527
BaseRepresentation
bin1011110101000001010…
…0110101011110101000
3201102112010112120111120
42331100110311132220
511312134020231440
6233204235055240
720452521603525
oct2752024653650
9642463476446
10203211102120
11791aa407804
1233472ba1520
13162166770c0
149b9a75a14c
155445316dd0
hex2f505357a8

203211102120 has 64 divisors (see below), whose sum is σ = 656528181120. Its totient is φ = 50021193984.

The previous prime is 203211102119. The next prime is 203211102121. The reversal of 203211102120 is 21201112302.

203211102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203211102119) and next prime (203211102121).

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

It is a self number, because there is not a number n which added to its sum of digits gives 203211102120.

It is not an unprimeable number, because it can be changed into a prime (203211102121) 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 15 ways as a sum of consecutive naturals, for example, 65130204 + ... + 65133323.

It is an arithmetic number, because the mean of its divisors is an integer number (10258252830).

Almost surely, 2203211102120 is an apocalyptic number.

203211102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203211102120 is an abundant number, since it is smaller than the sum of its proper divisors (453317079000).

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

203211102120 is a wasteful number, since it uses less digits than its factorization.

203211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130263554 (or 130263550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 203211102120 its reverse (21201112302), we get a palindrome (224412214422).

The spelling of 203211102120 in words is "two hundred three billion, two hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 130263527 260527054 390790581 521054108 651317635 781581162 1042108216 1302635270 1563162324 1693425851 1953952905 2605270540 3126324648 3386851702 3907905810 5080277553 5210541080 6773703404 7815811620 8467129255 10160555106 13547406808 15631623240 16934258510 20321110212 25401387765 33868517020 40642220424 50802775530 67737034040 101605551060 203211102120