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1022100313021 = 5937948139497
BaseRepresentation
bin11101101111110011110…
…11010001001110111101
310121201012221001122112221
432313321323101032331
5113221230140004041
62101314004525341
7133562412212344
oct16677173211675
93551187048487
101022100313021
11364519a871a7
1214610b3b0851
13754cab40938
143768165ab5b
151b8c1aac2d1
hexedf9ed13bd

1022100313021 has 16 divisors (see below), whose sum is σ = 1042492881600. Its totient is φ = 1001811742848.

The previous prime is 1022100313019. The next prime is 1022100313067. The reversal of 1022100313021 is 1203130012201.

It is a cyclic number.

It is not a de Polignac number, because 1022100313021 - 21 = 1022100313019 is a prime.

It is a super-3 number, since 3×10221003130213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022100312986 and 1022100313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100343021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107618745 + ... + 107628241.

It is an arithmetic number, because the mean of its divisors is an integer number (65155805100).

Almost surely, 21022100313021 is an apocalyptic number.

It is an amenable number.

1022100313021 is a deficient number, since it is larger than the sum of its proper divisors (20392568579).

1022100313021 is an equidigital number, since it uses as much as digits as its factorization.

1022100313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022100313021 its reverse (1203130012201), we get a palindrome (2225230325222).

The spelling of 1022100313021 in words is "one trillion, twenty-two billion, one hundred million, three hundred thirteen thousand, twenty-one".

Divisors: 1 59 379 4813 9497 22361 283967 560323 1824127 3599363 45709061 107623493 212362417 2696834599 17323734119 1022100313021