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1003002011020 = 225371975968597
BaseRepresentation
bin11101001100001111001…
…01000001110110001100
310112212220221020101102101
432212013211001312030
5112413122003323040
62044434530004444
7132315216265522
oct16460745016614
93485827211371
101003002011020
1135740953a239
1214247b416724
1373776205519
143678d014312
151b1550a609a
hexe987941d8c

1003002011020 has 48 divisors (see below), whose sum is σ = 2163372382080. Its totient is φ = 390332093184.

The previous prime is 1003002011017. The next prime is 1003002011041. The reversal of 1003002011020 is 201102003001.

It is a super-2 number, since 2×10030020110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1003002010988 and 1003002011006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14587362 + ... + 14655958.

It is an arithmetic number, because the mean of its divisors is an integer number (45070257960).

Almost surely, 21003002011020 is an apocalyptic number.

1003002011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003002011020 is an abundant number, since it is smaller than the sum of its proper divisors (1160370371060).

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

1003002011020 is a wasteful number, since it uses less digits than its factorization.

1003002011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88402 (or 88400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1003002011020 its reverse (201102003001), we get a palindrome (1204104014021).

The spelling of 1003002011020 in words is "one trillion, three billion, two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 19759 39518 68597 79036 98795 137194 197590 274388 342985 395180 685970 731083 1371940 1462166 2538089 2924332 3655415 5076178 7310830 10152356 12690445 14621660 25380890 50761780 1355408123 2710816246 5421632492 6777040615 13554081230 27108162460 50150100551 100300201102 200600402204 250750502755 501501005510 1003002011020