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103022020023021 = 33111918256604647
BaseRepresentation
bin10111011011001010101110…
…111010000101001011101101
3111111202210211201010212122000
4113123022232322011023231
5102000403044111214041
61003035355043442513
730462044460411231
oct2733125672051355
9444683751125560
10103022020023021
112a90a436585090
12b67a436086439
134563c1c9b8868
141b624143bc5c1
15bd9c8c299bb6
hex5db2aee852ed

103022020023021 has 32 divisors (see below), whose sum is σ = 175263404620800. Its totient is φ = 59151399053040.

The previous prime is 103022020023019. The next prime is 103022020023031. The reversal of 103022020023021 is 120320020220301.

103022020023021 is a `hidden beast` number, since 10 + 3 + 0 + 220 + 200 + 230 + 2 + 1 = 666.

It is not a de Polignac number, because 103022020023021 - 21 = 103022020023019 is a prime.

It is a super-3 number, since 3×1030220200230213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103022020022985 and 103022020023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022020023031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9128296681 + ... + 9128307966.

It is an arithmetic number, because the mean of its divisors is an integer number (5476981394400).

Almost surely, 2103022020023021 is an apocalyptic number.

103022020023021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103022020023021 is a deficient number, since it is larger than the sum of its proper divisors (72241384597779).

103022020023021 is a wasteful number, since it uses less digits than its factorization.

103022020023021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18256604686 (or 18256604680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103022020023021 its reverse (120320020220301), we get a palindrome (223342040243322).

The spelling of 103022020023021 in words is "one hundred three trillion, twenty-two billion, twenty million, twenty-three thousand, twenty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 18256604647 54769813941 164309441823 200822651117 346875488293 492928325469 602467953351 1040626464879 1807403860053 3121879394637 3815630371223 5422211580159 9365638183911 11446891113669 34340673341007 103022020023021