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12310002020322 = 232371012573372113
BaseRepresentation
bin1011001100100010010101…
…0011000010111111100010
31121120211021012120102000200
42303020211103002333202
53103141341004122242
642103045321130030
72410240216503066
oct263104523027742
947524235512020
1012310002020322
113a16708245aa6
121469916929916
136b3a9c7653c6
14307b4324baa6
1516532873b04c
hexb32254c2fe2

12310002020322 has 192 divisors, whose sum is σ = 27866970933984. Its totient is φ = 3923981107200.

The previous prime is 12310002020273. The next prime is 12310002020383. The reversal of 12310002020322 is 22302020001321.

12310002020322 is a `hidden beast` number, since 12 + 310 + 0 + 0 + 2 + 0 + 20 + 322 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5677311709521 + 6632690310801 = 2382711^2 + 2575401^2 .

It is a super-2 number, since 2×123100020203222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12310002020295 and 12310002020304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5825839938 + ... + 5825842050.

Almost surely, 212310002020322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310002020322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933485466992).

12310002020322 is an abundant number, since it is smaller than the sum of its proper divisors (15556968913662).

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

12310002020322 is a wasteful number, since it uses less digits than its factorization.

12310002020322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12310002020322 its reverse (22302020001321), we get a palindrome (34612022021643).

The spelling of 12310002020322 in words is "twelve trillion, three hundred ten billion, two million, twenty thousand, three hundred twenty-two".