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10003323121231 = 1121071013762721
BaseRepresentation
bin1001000110010001010010…
…0001010110111001001111
31022102022022210021022011111
42101210110201112321033
52302343301204334411
633135244015032451
72051500446405346
oct221442441267117
938368283238144
1010003323121231
113207427130200
12115686480b727
1357740377484b
14268240606b5d
15125321a61721
hex91914856e4f

10003323121231 has 24 divisors (see below), whose sum is σ = 11109119151312. Its totient is φ = 9000034982400.

The previous prime is 10003323121177. The next prime is 10003323121261. The reversal of 10003323121231 is 13212132330001.

It is a de Polignac number, because none of the positive numbers 2k-10003323121231 is a prime.

It is a super-2 number, since 2×100033231212312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003323121261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12733951 + ... + 13496671.

It is an arithmetic number, because the mean of its divisors is an integer number (462879964638).

Almost surely, 210003323121231 is an apocalyptic number.

10003323121231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10003323121231 is a deficient number, since it is larger than the sum of its proper divisors (1105796030081).

10003323121231 is a wasteful number, since it uses less digits than its factorization.

10003323121231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763863 (or 763852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10003323121231 its reverse (13212132330001), we get a palindrome (23215455451232).

The spelling of 10003323121231 in words is "ten trillion, three billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 107 121 1013 1177 11143 12947 108391 122573 762721 1192301 8389931 13115311 81611147 92289241 772636373 897722617 8499000103 9874948787 82672091911 93489001133 909393011021 10003323121231