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104211302013 = 327131710976823
BaseRepresentation
bin110000100001101111…
…0100100011001111101
3100221222122221122120100
41201003132210121331
53201411043131023
6115512441511313
710346311310640
oct1410336443175
9327878848510
10104211302013
1140217621695
12182441a2539
139a9a144820
145088499a57
152a9dcecc43
hex18437a467d

104211302013 has 96 divisors (see below), whose sum is σ = 196370044416. Its totient is φ = 51680415744.

The previous prime is 104211301963. The next prime is 104211302033. The reversal of 104211302013 is 310203112401.

104211302013 is a `hidden beast` number, since 10 + 421 + 1 + 30 + 201 + 3 = 666.

It is not a de Polignac number, because 104211302013 - 26 = 104211301949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104211302033) 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 95 ways as a sum of consecutive naturals, for example, 15270120 + ... + 15276942.

It is an arithmetic number, because the mean of its divisors is an integer number (2045521296).

Almost surely, 2104211302013 is an apocalyptic number.

104211302013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104211302013 is a deficient number, since it is larger than the sum of its proper divisors (92158742403).

104211302013 is a wasteful number, since it uses less digits than its factorization.

104211302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 104211302013 its reverse (310203112401), we get a palindrome (414414414414).

The spelling of 104211302013 in words is "one hundred four billion, two hundred eleven million, three hundred two thousand, thirteen".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1097 1547 1989 3291 4641 6823 7679 9873 13923 14261 18649 20469 23037 42783 47761 55947 61407 69111 88699 99827 115991 128349 130543 143283 167841 242437 266097 299481 347973 391629 429849 620893 727311 798291 811937 898443 1043919 1174887 1507883 1697059 1862679 2181933 2435811 4523649 5091177 5588037 7307433 7484831 10555181 13570947 15273531 22454493 31665543 52393817 67363479 94996629 97302803 127242127 157181451 291908409 381726381 471544353 681119621 875725227 890694889 1145179143 1654147651 2043358863 2672084667 4962442953 6130076589 8016254001 11579033557 14887328859 34737100671 104211302013