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20123322203133 = 3229173445669661
BaseRepresentation
bin1001001001101010100110…
…11110001011101111111101
32122020202210220221112002200
410210311103132023233331
510114200030441000013
6110444305424542113
74144601453322462
oct444652336135775
978222726845080
1020123322203133
116459286851586
12231004ba81939
13b2c80c855576
144d7d8c8bd669
1524d6c1827e73
hex124d5378bbfd

20123322203133 has 24 divisors (see below), whose sum is σ = 30243143263320. Its totient is φ = 12878070495360.

The previous prime is 20123322203099. The next prime is 20123322203141. The reversal of 20123322203133 is 33130222332102.

20123322203133 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 322 + 20 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5441381986329 + 14681940216804 = 2332677^2 + 3831702^2 .

It is not a de Polignac number, because 20123322203133 - 26 = 20123322203069 is a prime.

It is a super-2 number, since 2×201233222031332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20123322203097 and 20123322203106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123322203233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222789678 + ... + 222879983.

It is an arithmetic number, because the mean of its divisors is an integer number (1260130969305).

Almost surely, 220123322203133 is an apocalyptic number.

It is an amenable number.

20123322203133 is a deficient number, since it is larger than the sum of its proper divisors (10119821060187).

20123322203133 is a wasteful number, since it uses less digits than its factorization.

20123322203133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445669869 (or 445669866 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20123322203133 its reverse (33130222332102), we get a palindrome (53253544535235).

The spelling of 20123322203133 in words is "twenty trillion, one hundred twenty-three billion, three hundred twenty-two million, two hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 173 261 519 1557 5017 15051 45153 445669661 1337008983 4011026949 12924420169 38773260507 77100851353 116319781521 231302554059 693907662177 2235924689237 6707774067711 20123322203133