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33103113303013 = 132509666157773
BaseRepresentation
bin1111000011011011010110…
…10011110011001111100101
311100012121220212211120000221
413201231223103303033211
513314330134001144023
6154223205454404341
76654423002304055
oct741555323631745
9140177825746027
1033103113303013
11a602a51510526
1238677318006b1
1315617c1783a00
148262b09a1565
153c614bc2c85d
hex1e1b6b4f33e5

33103113303013 has 24 divisors (see below), whose sum is σ = 35921819912040. Its totient is φ = 30491580936960.

The previous prime is 33103113302969. The next prime is 33103113303019. The reversal of 33103113303013 is 31030331130133.

It can be written as a sum of positive squares in 12 ways, for example, as 12549965163649 + 20553148139364 = 3542593^2 + 4533558^2 .

It is a de Polignac number, because none of the positive numbers 2k-33103113303013 is a prime.

It is a super-2 number, since 2×331031133030132 (a number of 28 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 (33103113303019) 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, 572956995 + ... + 573014767.

It is an arithmetic number, because the mean of its divisors is an integer number (1496742496335).

Almost surely, 233103113303013 is an apocalyptic number.

It is an amenable number.

33103113303013 is a deficient number, since it is larger than the sum of its proper divisors (2818706609027).

33103113303013 is a wasteful number, since it uses less digits than its factorization.

33103113303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64969 (or 64956 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 33103113303013 its reverse (31030331130133), we get a palindrome (64133444433146).

The spelling of 33103113303013 in words is "thirty-three trillion, one hundred three billion, one hundred thirteen million, three hundred three thousand, thirteen".

Divisors: 1 13 169 509 6617 6661 57773 86021 86593 751049 1125709 3390449 9763637 29406457 44075837 382283941 384825953 572985881 4969691233 5002737389 65035586057 195876410077 2546393331001 33103113303013