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1003321301020 = 2251759251199267
BaseRepresentation
bin11101001100110101001…
…11000001100000011100
310112220202012000222221221
432212122213001200130
5112414300223113040
62044530333303124
7132326144226253
oct16463247014034
93486665028857
101003321301020
11357562799575
1214254a334aa4
13737c73c850c
14367bd5a979a
151b17312574a
hexe99a9c181c

1003321301020 has 96 divisors (see below), whose sum is σ = 2277776712960. Its totient is φ = 369837696000.

The previous prime is 1003321300937. The next prime is 1003321301039. The reversal of 1003321301020 is 201031233001.

It is a junction number, because it is equal to n+sod(n) for n = 1003321300985 and 1003321301003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4935427 + ... + 5134693.

It is an arithmetic number, because the mean of its divisors is an integer number (23726840760).

Almost surely, 21003321301020 is an apocalyptic number.

1003321301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003321301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138888356480).

1003321301020 is an abundant number, since it is smaller than the sum of its proper divisors (1274455411940).

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

1003321301020 is a wasteful number, since it uses less digits than its factorization.

1003321301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199603 (or 199601 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003321301020 its reverse (201031233001), we get a palindrome (1204352534021).

The spelling of 1003321301020 in words is "one trillion, three billion, three hundred twenty-one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 251 295 340 502 590 1003 1004 1180 1255 2006 2510 4012 4267 5015 5020 8534 10030 14809 17068 20060 21335 29618 42670 59236 74045 85340 148090 199267 251753 296180 398534 503506 797068 996335 1007012 1258765 1992670 2517530 3387539 3985340 5035060 6775078 11756753 13550156 16937695 23513506 33875390 47027012 50016017 58783765 67750780 100032034 117567530 199864801 200064068 235135060 250080085 399729602 500160170 799459204 850272289 999324005 1000320340 1700544578 1998648010 2950945003 3401089156 3997296020 4251361445 5901890006 8502722890 11803780012 14754725015 17005445780 29509450030 50166065051 59018900060 100332130102 200664260204 250830325255 501660650510 1003321301020