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10024903031 = 111370104217
BaseRepresentation
bin10010101011000011…
…11110000101110111
3221212122121211122212
421111201332011313
5131012333344111
64334432244035
7503266161353
oct112541760567
927778554585
1010024903031
114284884030
121b393a061b
13c39bc94b0
146b15a6463
153da17b98b
hex25587e177

10024903031 has 8 divisors (see below), whose sum is σ = 11777508624. Its totient is φ = 8412505920.

The previous prime is 10024903013. The next prime is 10024903061. The reversal of 10024903031 is 13030942001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10024903031 - 210 = 10024902007 is a prime.

It is a super-2 number, since 2×100249030312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024902988 and 10024903006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024903061) 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, 35051966 + ... + 35052251.

It is an arithmetic number, because the mean of its divisors is an integer number (1472188578).

Almost surely, 210024903031 is an apocalyptic number.

10024903031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10024903031 is a deficient number, since it is larger than the sum of its proper divisors (1752605593).

10024903031 is a wasteful number, since it uses less digits than its factorization.

10024903031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70104241.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10024903031 in words is "ten billion, twenty-four million, nine hundred three thousand, thirty-one".

Divisors: 1 11 13 143 70104217 771146387 911354821 10024903031