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1003113101320 = 23511318841343
BaseRepresentation
bin11101001100011100011…
…00110011100000001000
310112220012200021100122221
432212032030303200020
5112413333423220240
62044453535023424
7132321035451121
oct16461614634010
93486180240587
101003113101320
11357466216000
121424b066ab74
137379322cc25
143679da91048
151b15ebeba4a
hexe98e333808

1003113101320 has 64 divisors (see below), whose sum is σ = 2482535485440. Its totient is φ = 364768381120.

The previous prime is 1003113101297. The next prime is 1003113101329. The reversal of 1003113101320 is 231013113001.

It is a junction number, because it is equal to n+sod(n) for n = 1003113101294 and 1003113101303.

It is not an unprimeable number, because it can be changed into a prime (1003113101329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9367432 + ... + 9473911.

It is an arithmetic number, because the mean of its divisors is an integer number (38789616960).

Almost surely, 21003113101320 is an apocalyptic number.

1003113101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003113101320 is an abundant number, since it is smaller than the sum of its proper divisors (1479422384120).

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

1003113101320 is a wasteful number, since it uses less digits than its factorization.

1003113101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18841387 (or 18841361 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1003113101320 its reverse (231013113001), we get a palindrome (1234126214321).

The spelling of 1003113101320 in words is "one trillion, three billion, one hundred thirteen million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4840 5324 6655 10648 13310 26620 53240 18841343 37682686 75365372 94206715 150730744 188413430 207254773 376826860 414509546 753653720 829019092 1036273865 1658038184 2072547730 2279802503 4145095460 4559605006 8290190920 9119210012 11399012515 18238420024 22798025030 25077827533 45596050060 50155655066 91192100120 100311310132 125389137665 200622620264 250778275330 501556550660 1003113101320