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103021310322012 = 22331335397750343
BaseRepresentation
bin10111011011001010000100…
…100110110010010101011100
3111111202202000020201022212110
4113123022010212302111130
5102000400120420301022
61003035200412234020
730462021052144125
oct2733120446622534
9444682006638773
10103021310322012
112a90a101a0a225
12b67a27846b910
134563b38960a34
141b6238803b04c
15bd9c49d0d00c
hex5db2849b255c

103021310322012 has 48 divisors (see below), whose sum is σ = 241219226545920. Its totient is φ = 34221046075008.

The previous prime is 103021310321989. The next prime is 103021310322013. The reversal of 103021310322012 is 210223013120301.

103021310322012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030213103220122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103021310322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021310322013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9417313 + ... + 17167655.

It is an arithmetic number, because the mean of its divisors is an integer number (5025400553040).

Almost surely, 2103021310322012 is an apocalyptic number.

103021310322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103021310322012 is an abundant number, since it is smaller than the sum of its proper divisors (138197916223908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103021310322012 is a wasteful number, since it uses less digits than its factorization.

103021310322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754202 (or 7754200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103021310322012 its reverse (210223013120301), we get a palindrome (313244323442313).

The spelling of 103021310322012 in words is "one hundred three trillion, twenty-one billion, three hundred ten million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 313 626 939 1252 1878 3539 3756 7078 10617 14156 21234 42468 1107707 2215414 3323121 4430828 6646242 7750343 13292484 15500686 23251029 31001372 46502058 93004116 2425857359 4851714718 7277572077 9703429436 14555144154 27428463877 29110288308 54856927754 82285391631 109713855508 164570783262 329141566524 8585109193501 17170218387002 25755327580503 34340436774004 51510655161006 103021310322012