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1002021003320 = 2351712711602837
BaseRepresentation
bin11101001010011010001…
…10110010000000111000
310112210101120022000211212
432211031012302000320
5112404114334101240
62044153323342252
7132252004666001
oct16451506620070
93483346260755
101002021003320
11356a55808677
12142246981988
137364abb7bac
14366d8a0c1a8
151b0e8dc7165
hexe94d1b2038

1002021003320 has 64 divisors (see below), whose sum is σ = 2405964487680. Its totient is φ = 374261078016.

The previous prime is 1002021003311. The next prime is 1002021003323. The reversal of 1002021003320 is 233001202001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002021003295 and 1002021003304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021003323) 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, 5715059 + ... + 5887778.

It is an arithmetic number, because the mean of its divisors is an integer number (37593195120).

Almost surely, 21002021003320 is an apocalyptic number.

1002021003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021003320 is an abundant number, since it is smaller than the sum of its proper divisors (1403943484360).

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

1002021003320 is a wasteful number, since it uses less digits than its factorization.

1002021003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11602992 (or 11602988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1002021003320 its reverse (233001202001), we get a palindrome (1235022205321).

The spelling of 1002021003320 in words is "one trillion, two billion, twenty-one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 340 508 635 680 1016 1270 2159 2540 4318 5080 8636 10795 17272 21590 43180 86360 11602837 23205674 46411348 58014185 92822696 116028370 197248229 232056740 394496458 464113480 788992916 986241145 1473560299 1577985832 1972482290 2947120598 3944964580 5894241196 7367801495 7889929160 11788482392 14735602990 25050525083 29471205980 50101050166 58942411960 100202100332 125252625415 200404200664 250505250830 501010501660 1002021003320