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103021132103021 = 1123372526451973
BaseRepresentation
bin10111011011001001111001…
…111110111011110101101101
3111111202201112211100212101002
4113123021321332323311231
5102000344234304244041
61003035131004330045
730462013456254206
oct2733117176736555
9444681484325332
10103021132103021
112a90a020353700
12b67a228843925
134563b0aa61702
141b6236c4c85ad
15bd9c3935759b
hex5db279fbbd6d

103021132103021 has 12 divisors (see below), whose sum is σ = 113574122039196. Its totient is φ = 93377664885120.

The previous prime is 103021132103017. The next prime is 103021132103027. The reversal of 103021132103021 is 120301231120301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18917376046921 + 84103756056100 = 4349411^2 + 9170810^2 .

It is not a de Polignac number, because 103021132103021 - 22 = 103021132103017 is a prime.

It is a super-3 number, since 3×1030211321030213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103021132102984 and 103021132103002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021132103027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263185210 + ... + 1263266763.

It is an arithmetic number, because the mean of its divisors is an integer number (9464510169933).

Almost surely, 2103021132103021 is an apocalyptic number.

103021132103021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103021132103021 is a deficient number, since it is larger than the sum of its proper divisors (10552989936175).

103021132103021 is a wasteful number, since it uses less digits than its factorization.

103021132103021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526452332 (or 2526452321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103021132103021 its reverse (120301231120301), we get a palindrome (223322363223322).

The spelling of 103021132103021 in words is "one hundred three trillion, twenty-one billion, one hundred thirty-two million, one hundred three thousand, twenty-one".

Divisors: 1 11 121 337 3707 40777 2526451973 27790971703 305700688733 851414314901 9365557463911 103021132103021