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10020321003 = 3721143211683
BaseRepresentation
bin10010101010100000…
…11111011011101011
3221212100000001022010
421111100133123223
5131010200233003
64334150131003
7503212215600
oct112520373353
927770001263
1010020321003
114282234530
121b37950a63
13c38c83a34
146b0b326a7
153d9a74003
hex25541f6eb

10020321003 has 96 divisors (see below), whose sum is σ = 17456643072. Its totient is φ = 5052801600.

The previous prime is 10020321001. The next prime is 10020321011. The reversal of 10020321003 is 30012302001.

It is a happy number.

It is not a de Polignac number, because 10020321003 - 21 = 10020321001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10020321003.

It is not an unprimeable number, because it can be changed into a prime (10020321001) 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 95 ways as a sum of consecutive naturals, for example, 14670700 + ... + 14671382.

It is an arithmetic number, because the mean of its divisors is an integer number (181840032).

Almost surely, 210020321003 is an apocalyptic number.

10020321003 is a deficient number, since it is larger than the sum of its proper divisors (7436322069).

10020321003 is a wasteful number, since it uses less digits than its factorization.

10020321003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10020321003 its reverse (30012302001), we get a palindrome (40032623004).

The spelling of 10020321003 in words is "ten billion, twenty million, three hundred twenty-one thousand, three".

Divisors: 1 3 7 11 21 33 43 49 77 129 147 211 231 301 473 539 633 683 903 1419 1477 1617 2049 2107 2321 3311 4431 4781 6321 6963 7513 9073 9933 10339 14343 16247 22539 23177 27219 29369 31017 33467 48741 52591 63511 69531 88107 99803 100401 113729 144113 157773 190533 205583 299409 323059 341187 368137 432339 444577 616749 698621 969177 1008791 1104411 1333731 1439081 1585243 2095863 2261413 3026373 4317243 4755729 4890347 6196859 6784239 7061537 11096701 14671041 15829891 18590577 21184611 33290103 43378013 47489673 68165449 77676907 130134039 204496347 233030721 303646091 477158143 910938273 1431474429 3340107001 10020321003