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1003124314040 = 23531808971221
BaseRepresentation
bin11101001100011101101…
…11100100111110111000
310112220020110101000121212
432212032313210332320
5112413344311022130
62044455015222252
7132321232661222
oct16461667447670
93486213330555
101003124314040
11357471584312
121424b4377988
1373795657784
14367a136d412
151b160bb3e95
hexe98ede4fb8

1003124314040 has 32 divisors (see below), whose sum is σ = 2329837119360. Its totient is φ = 388306185600.

The previous prime is 1003124314021. The next prime is 1003124314067. The reversal of 1003124314040 is 404134213001.

It is a super-2 number, since 2×10031243140402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003124313997 and 1003124314015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404484371 + ... + 404486850.

It is an arithmetic number, because the mean of its divisors is an integer number (72807409980).

Almost surely, 21003124314040 is an apocalyptic number.

1003124314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003124314040 is an abundant number, since it is smaller than the sum of its proper divisors (1326712805320).

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

1003124314040 is a wasteful number, since it uses less digits than its factorization.

1003124314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808971263 (or 808971259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1003124314040 its reverse (404134213001), we get a palindrome (1407258527041).

The spelling of 1003124314040 in words is "one trillion, three billion, one hundred twenty-four million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 808971221 1617942442 3235884884 4044856105 6471769768 8089712210 16179424420 25078107851 32358848840 50156215702 100312431404 125390539255 200624862808 250781078510 501562157020 1003124314040