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12303302100444 = 2234141829267739
BaseRepresentation
bin1011001100001001010111…
…1100111000010111011100
31121120011222021111012210000
42303002111330320113130
53103034130314203234
642100020422414300
72406612203226015
oct263022574702734
947504867435700
1012303302100444
113a1388a320033
121468566b91390
136b3272687884
143076a94c600c
15165085449899
hexb3095f385dc

12303302100444 has 60 divisors (see below), whose sum is σ = 32163608877400. Its totient is φ = 4101056466912.

The previous prime is 12303302100379. The next prime is 12303302100449. The reversal of 12303302100444 is 44400120330321.

12303302100444 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 3 + 0 + 210 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303302100449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45818727 + ... + 46086465.

Almost surely, 212303302100444 is an apocalyptic number.

It is an amenable number.

12303302100444 is an abundant number, since it is smaller than the sum of its proper divisors (19860306776956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12303302100444 is a wasteful number, since it uses less digits than its factorization.

12303302100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409584 (or 409573 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12303302100444 its reverse (44400120330321), we get a palindrome (56703422430765).

The spelling of 12303302100444 in words is "twelve trillion, three hundred three billion, three hundred two million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 141829 267739 283658 425487 535478 567316 803217 850974 1070956 1276461 1606434 1701948 2409651 2552922 3212868 3829383 4819302 5105844 7228953 7658766 9638604 11488149 14457906 15317532 21686859 22976298 28915812 43373718 45952596 86747436 37973154631 75946309262 113919463893 151892618524 227838927786 341758391679 455677855572 683516783358 1025275175037 1367033566716 2050550350074 3075825525111 4101100700148 6151651050222 12303302100444