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100020122201223 = 3273747912950539
BaseRepresentation
bin10110101111011110111111…
…110110101010110010000111
3111010010211102021210021002200
4112233132333312222302013
5101102212202240414343
6552420335415205543
730032133604056030
oct2657367766526207
9433124367707080
10100020122201223
1129962328510844
12b2746a06768b3
1343a6b1ac386a3
141a9addd427a87
15b86b461284d3
hex5af7bfdaac87

100020122201223 has 48 divisors (see below), whose sum is σ = 173183065635840. Its totient is φ = 54426459273408.

The previous prime is 100020122201201. The next prime is 100020122201261. The reversal of 100020122201223 is 322102221020001.

100020122201223 is a `hidden beast` number, since 100 + 0 + 20 + 122 + 201 + 223 = 666.

It is not a de Polignac number, because 100020122201223 - 213 = 100020122193031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020122201196 and 100020122201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020122209223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456365713 + ... + 456584826.

It is an arithmetic number, because the mean of its divisors is an integer number (3607980534080).

Almost surely, 2100020122201223 is an apocalyptic number.

100020122201223 is a deficient number, since it is larger than the sum of its proper divisors (73162943434617).

100020122201223 is a wasteful number, since it uses less digits than its factorization.

100020122201223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912950636 (or 912950633 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100020122201223 its reverse (322102221020001), we get a palindrome (422122343221224).

The spelling of 100020122201223 in words is "one hundred trillion, twenty billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 37 47 63 111 141 259 329 333 423 777 987 1739 2331 2961 5217 12173 15651 36519 109557 912950539 2738851617 6390653773 8216554851 19171961319 33779169943 42908675333 57515883957 101337509829 128726025999 236454189601 300360727331 304012529487 386178077997 709362568803 901082181993 1587620987321 2128087706409 2703246545979 4762862961963 11113346911247 14288588885889 33340040733741 100020122201223