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213302333100 = 223522014735291
BaseRepresentation
bin1100011010100111001…
…1110100111010101100
3202101120101222020000010
43012221303310322230
511443320344124400
6241553441133220
721260554626153
oct3065163647254
9671511866003
10213302333100
1182508673a1a
123540a62a210
13171642278ac
14a476a6a59a
1558361e6450
hex31a9cf4eac

213302333100 has 72 divisors (see below), whose sum is σ = 617202871488. Its totient is φ = 56876187200.

The previous prime is 213302333047. The next prime is 213302333117. The reversal of 213302333100 is 1333203312.

It is a super-2 number, since 2×2133023331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6026455 + ... + 6061745.

It is an arithmetic number, because the mean of its divisors is an integer number (8572262104).

Almost surely, 2213302333100 is an apocalyptic number.

213302333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302333100 is an abundant number, since it is smaller than the sum of its proper divisors (403900538388).

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

213302333100 is a wasteful number, since it uses less digits than its factorization.

213302333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55455 (or 55448 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213302333100 its reverse (1333203312), we get a palindrome (214635536412).

The spelling of 213302333100 in words is "two hundred thirteen billion, three hundred two million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 20147 35291 40294 60441 70582 80588 100735 105873 120882 141164 176455 201470 211746 241764 302205 352910 402940 423492 503675 529365 604410 705820 882275 1007350 1058730 1208820 1511025 1764550 2014700 2117460 2646825 3022050 3529100 5293650 6044100 10587300 711007777 1422015554 2133023331 2844031108 3555038885 4266046662 7110077770 8532093324 10665116655 14220155540 17775194425 21330233310 35550388850 42660466620 53325583275 71100777700 106651166550 213302333100