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12311024301400 = 23521141347393331
BaseRepresentation
bin1011001100100110001000…
…1110101111010101011000
31121120220220110011200000211
42303021202032233111120
53103200434210121100
642103335000140504
72410304441653306
oct263114216572530
947526813150024
1012311024301400
113a170922a79a0
121469b61167734
136b3c034a4056
14307bdcd19276
1516538836e1ba
hexb32623af558

12311024301400 has 192 divisors, whose sum is σ = 32079088056960. Its totient is φ = 4354949760000.

The previous prime is 12311024301283. The next prime is 12311024301403. The reversal of 12311024301400 is 410342011321.

12311024301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123110243014002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311024301403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31102735 + ... + 31496065.

It is an arithmetic number, because the mean of its divisors is an integer number (167078583630).

Almost surely, 212311024301400 is an apocalyptic number.

12311024301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311024301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039544028480).

12311024301400 is an abundant number, since it is smaller than the sum of its proper divisors (19768063755560).

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

12311024301400 is a wasteful number, since it uses less digits than its factorization.

12311024301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393746 (or 393737 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12311024301400 its reverse (410342011321), we get a palindrome (12721366312721).

The spelling of 12311024301400 in words is "twelve trillion, three hundred eleven billion, twenty-four million, three hundred one thousand, four hundred".