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10020103093 = 71113172191823
BaseRepresentation
bin10010101010011111…
…01010001110110101
3221212022120222101101
421111033222032311
5131010121244333
64334141330101
7503210320360
oct112517521665
927768528341
1010020103093
1142820a5840
121b37866931
13c38c087b0
146b0ab70d7
153d9a2e67d
hex2553ea3b5

10020103093 has 96 divisors (see below), whose sum is σ = 15051939840. Its totient is φ = 6422768640.

The previous prime is 10020103081. The next prime is 10020103109. The reversal of 10020103093 is 39030102001.

It is not a de Polignac number, because 10020103093 - 29 = 10020102581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10020103093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020103063) 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, 5495580 + ... + 5497402.

It is an arithmetic number, because the mean of its divisors is an integer number (156791040).

Almost surely, 210020103093 is an apocalyptic number.

10020103093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10020103093 is a deficient number, since it is larger than the sum of its proper divisors (5031836747).

10020103093 is a wasteful number, since it uses less digits than its factorization.

10020103093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10020103093 its reverse (39030102001), we get a palindrome (49050205094).

The spelling of 10020103093 in words is "ten billion, twenty million, one hundred three thousand, ninety-three".

Divisors: 1 7 11 13 17 19 77 91 119 133 143 187 209 221 247 289 323 1001 1309 1463 1547 1729 1823 2023 2261 2431 2717 3179 3553 3757 4199 5491 12761 17017 19019 20053 22253 23699 24871 26299 29393 30991 34637 38437 41327 46189 60401 71383 140371 165893 216937 242459 260689 289289 323323 340901 381007 402883 422807 450281 499681 526847 588829 785213 1824823 2386307 2667049 2820181 3151967 3687929 4121803 4431713 4953091 5496491 5795317 6477119 6849011 7654777 10010093 31021991 34671637 40567219 45339833 47943077 53583439 70070651 75339121 84202547 110111023 130131209 527373847 589417829 770777161 910918463 1431443299 10020103093