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1003103212020 = 22357131676171783
BaseRepresentation
bin11101001100011011001…
…11000101000111110100
310112220011222122221002120
432212031213011013310
5112413323410241040
62044452543035540
7132320555422260
oct16461547050764
93486158587076
101003103212020
11357460681028
121424a929bbb0
1373791179880
143679c6390a0
151b15dde67d0
hexe98d9c51f4

1003103212020 has 384 divisors, whose sum is σ = 3485137453056. Its totient is φ = 209917661184.

The previous prime is 1003103212009. The next prime is 1003103212021. The reversal of 1003103212020 is 202123013001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003103212021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 562592049 + ... + 562593831.

It is an arithmetic number, because the mean of its divisors is an integer number (9075878784).

Almost surely, 21003103212020 is an apocalyptic number.

1003103212020 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 1003103212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742568726528).

1003103212020 is an abundant number, since it is smaller than the sum of its proper divisors (2482034241036).

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

1003103212020 is a wasteful number, since it uses less digits than its factorization.

1003103212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1003103212020 its reverse (202123013001), we get a palindrome (1205226225021).

The spelling of 1003103212020 in words is "one trillion, three billion, one hundred three million, two hundred twelve thousand, twenty".