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10004341121013 = 319317380539631
BaseRepresentation
bin1001000110010101000100…
…1100101101111111110101
31022102101221201211001100010
42101211101030231333311
52302402342311333023
633135533022210433
72051534620304631
oct221452114557765
938371851731303
1010004341121013
1132078a9828538
121156aa9723a19
13577536644895
142682d98bbdc1
151253810eb093
hex9195132dff5

10004341121013 has 64 divisors (see below), whose sum is σ = 14696021688320. Its totient is φ = 6029569497600.

The previous prime is 10004341120987. The next prime is 10004341121017. The reversal of 10004341121013 is 31012114340001.

It is not a de Polignac number, because 10004341121013 - 216 = 10004341055477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004341121017) 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, 1038759708 + ... + 1038769338.

It is an arithmetic number, because the mean of its divisors is an integer number (229625338880).

Almost surely, 210004341121013 is an apocalyptic number.

It is an amenable number.

10004341121013 is a deficient number, since it is larger than the sum of its proper divisors (4691680567307).

10004341121013 is a wasteful number, since it uses less digits than its factorization.

10004341121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17810.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10004341121013 its reverse (31012114340001), we get a palindrome (41016455461014).

The spelling of 10004341121013 in words is "ten trillion, four billion, three hundred forty-one million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 19 31 57 73 93 219 589 1387 1767 2263 4161 6789 8053 9631 24159 28893 42997 128991 153007 182989 249643 298561 459021 548967 587869 703063 748929 895683 1763607 2109189 4743217 5672659 11169511 13358197 14229651 17017977 18223939 21794953 33508533 40074591 54671817 65384859 77558443 232675329 346254841 414104107 1038764523 1242312321 1473610417 2404311733 4420831251 5661766339 7212935199 16985299017 45681922927 107573560441 137045768781 175514756509 322720681323 526544269527 3334780373671 10004341121013