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213302012001 = 31343598812447
BaseRepresentation
bin1100011010100111001…
…0100110100001100001
3202101120101100220112120
43012221302212201201
511443320303341001
6241553430214453
721260552121051
oct3065162464141
9671511326476
10213302012001
1182508474751
123540a4b4429
13171641446b0
14a4769c5561
155836181236
hex31a9ca6861

213302012001 has 64 divisors (see below), whose sum is σ = 319206666240. Its totient is φ = 125842590720.

The previous prime is 213302011987. The next prime is 213302012003. The reversal of 213302012001 is 100210203312.

It is not a de Polignac number, because 213302012001 - 211 = 213302009953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213302012003) 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 63 ways as a sum of consecutive naturals, for example, 87167560 + ... + 87170006.

It is an arithmetic number, because the mean of its divisors is an integer number (4987604160).

Almost surely, 2213302012001 is an apocalyptic number.

It is an amenable number.

213302012001 is a deficient number, since it is larger than the sum of its proper divisors (105904654239).

213302012001 is a wasteful number, since it uses less digits than its factorization.

213302012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213302012001 its reverse (100210203312), we get a palindrome (313512215313).

The spelling of 213302012001 in words is "two hundred thirteen billion, three hundred two million, twelve thousand, one".

Divisors: 1 3 13 39 43 59 129 177 559 767 881 1677 2301 2447 2537 2643 7341 7611 11453 31811 32981 34359 37883 51979 95433 98943 105221 113649 144373 155937 315663 433119 492479 675727 1367873 1477437 1876849 2027181 2155807 2235097 4103619 5630547 6208039 6467421 6705291 18624117 28025491 29056261 80704507 84076473 87168783 92699701 127192613 242113521 278099103 381577839 1205096113 1653503969 3615288339 4960511907 5469282359 16407847077 71100670667 213302012001