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330101310032013 = 313713791663318911
BaseRepresentation
bin100101100001110011011001…
…1010100110000100010001101
31121021210101011212100012200010
41023003212303110300202031
5321231334440332011023
63130022240501023433
7126350014122220152
oct11303466324604215
91537711155305603
10330101310032013
11961a91a7876063
1231033a189b4b79
131122655c891a70
145b72dbac16229
152826a5c895093
hex12c39b353088d

330101310032013 has 64 divisors (see below), whose sum is σ = 481990275809280. Its totient is φ = 199727141644800.

The previous prime is 330101310031979. The next prime is 330101310032029. The reversal of 330101310032013 is 310230013101033.

It is not a de Polignac number, because 330101310032013 - 214 = 330101310015629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101390032013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17455509028 + ... + 17455527938.

It is an arithmetic number, because the mean of its divisors is an integer number (7531098059520).

Almost surely, 2330101310032013 is an apocalyptic number.

It is an amenable number.

330101310032013 is a deficient number, since it is larger than the sum of its proper divisors (151888965777267).

330101310032013 is a wasteful number, since it uses less digits than its factorization.

330101310032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36010.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 330101310032013 its reverse (310230013101033), we get a palindrome (640331323133046).

The spelling of 330101310032013 in words is "three hundred thirty trillion, one hundred one billion, three hundred ten million, thirty-two thousand, thirteen".

Divisors: 1 3 13 39 71 213 379 923 1137 2769 4927 14781 16633 18911 26909 49899 56733 80727 216229 245843 349817 648687 737529 1049451 1180943 1342681 3542829 4028043 6303907 7167269 15352259 17454853 18911721 21501807 46056777 52364559 81950791 93174497 245852373 279523491 314546663 447577397 508876099 943639989 1342732191 1526628297 4089106619 5818506161 6615389287 12267319857 17455518483 19846167861 22332813073 66998439219 119213185277 290326569949 357639555831 870979709847 1549771408601 4649314225803 8464136154667 25392408464001 110033770010671 330101310032013