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420002205351201 = 321171131456127999
BaseRepresentation
bin101111101111111010110001…
…0010000010011110100100001
32001002002211002211111001220200
41133133311202100103310201
5420022304004032214301
64045134203253255413
7154316105120101464
oct13737654220236441
92032084084431820
10420002205351201
11111909a31538730
123b1332a8934569
13150480656b7a15
1475a03027372db
15338534b8dbc86
hex17dfd62413d21

420002205351201 has 48 divisors (see below), whose sum is σ = 676266319872000. Its totient is φ = 249045886908000.

The previous prime is 420002205351187. The next prime is 420002205351203. The reversal of 420002205351201 is 102153502200024.

420002205351201 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 0 + 2 + 2 + 0 + 535 + 120 + 1 = 666.

It is not a de Polignac number, because 420002205351201 - 27 = 420002205351073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420002205351203) 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, 227143201 + ... + 228984798.

It is an arithmetic number, because the mean of its divisors is an integer number (14088881664000).

Almost surely, 2420002205351201 is an apocalyptic number.

It is an amenable number.

420002205351201 is a deficient number, since it is larger than the sum of its proper divisors (256264114520799).

420002205351201 is a wasteful number, since it uses less digits than its factorization.

420002205351201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456128218 (or 456128215 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 420002205351201 its reverse (102153502200024), we get a palindrome (522155707551225).

The spelling of 420002205351201 in words is "four hundred twenty trillion, two billion, two hundred five million, three hundred fifty-one thousand, two hundred one".

Divisors: 1 3 9 11 33 71 99 131 213 393 639 781 1179 1441 2343 4323 7029 9301 12969 27903 83709 102311 306933 920799 456127999 1368383997 4105151991 5017407989 15052223967 32385087929 45156671901 59752767869 97155263787 179258303607 291465791361 356235967219 537774910821 657280446559 1068707901657 1971841339677 3206123704971 4242446518699 5915524019031 12727339556097 38182018668291 46666911705689 140000735117067 420002205351201