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1002021003319 = 733005997187
BaseRepresentation
bin11101001010011010001…
…10110010000000110111
310112210101120022000211211
432211031012302000313
5112404114334101234
62044153323342251
7132252004666000
oct16451506620067
93483346260754
101002021003319
11356a55808676
12142246981987
137364abb7bab
14366d8a0c1a7
151b0e8dc7164
hexe94d1b2037

1002021003319 has 16 divisors (see below), whose sum is σ = 1168588512000. Its totient is φ = 858837735672.

The previous prime is 1002021003311. The next prime is 1002021003323. The reversal of 1002021003319 is 9133001202001.

It is not a de Polignac number, because 1002021003319 - 23 = 1002021003311 is a prime.

It is a super-2 number, since 2×10020210033192 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002021003319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021003311) by changing a digit.

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, 10261644 + ... + 10358830.

It is an arithmetic number, because the mean of its divisors is an integer number (73036782000).

Almost surely, 21002021003319 is an apocalyptic number.

1002021003319 is a deficient number, since it is larger than the sum of its proper divisors (166567508681).

1002021003319 is an frugal number, since it uses more digits than its factorization.

1002021003319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127267 (or 127253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 1002021003319 in words is "one trillion, two billion, twenty-one million, three thousand, three hundred nineteen".

Divisors: 1 7 49 343 30059 97187 210413 680309 1472891 4762163 10310237 33335141 2921344033 20449408231 143145857617 1002021003319