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10103013312 = 26377517123
BaseRepresentation
bin10010110100010111…
…11011111111000000
3222002002121020211020
421122023323333000
5131142332411222
64350302345440
7505235124210
oct113213737700
928062536736
1010103013312
114314984487
121b5b58b280
13c501476b2
146bbada240
153e1e5a65c
hex25a2fbfc0

10103013312 has 56 divisors (see below), whose sum is σ = 30549591936. Its totient is φ = 2886574848.

The previous prime is 10103013307. The next prime is 10103013313. The reversal of 10103013312 is 21331030101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10103013291 and 10103013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103013313) 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 7 ways as a sum of consecutive naturals, for example, 3757218 + ... + 3759905.

Almost surely, 210103013312 is an apocalyptic number.

10103013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103013312 is an abundant number, since it is smaller than the sum of its proper divisors (20446578624).

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

10103013312 is an equidigital number, since it uses as much as digits as its factorization.

10103013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517145 (or 7517135 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10103013312 its reverse (21331030101), we get a palindrome (31434043413).

The spelling of 10103013312 in words is "ten billion, one hundred three million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7517123 15034246 22551369 30068492 45102738 52619861 60136984 90205476 105239722 120273968 157859583 180410952 210479444 240547936 315719166 360821904 420958888 481095872 631438332 721643808 841917776 1262876664 1443287616 1683835552 2525753328 3367671104 5051506656 10103013312