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231123402400 = 255211194729411
BaseRepresentation
bin1101011101000000000…
…1110011111010100000
3211002120101110100020211
43113100001303322200
512241320042334100
6254102052343504
722461311335342
oct3272001637240
9732511410224
10231123402400
118a023154070
1238962914b94
1318a44369c07
14b2877db292
15602aa081ba
hex35d0073ea0

231123402400 has 288 divisors, whose sum is σ = 661727646720. Its totient is φ = 77924736000.

The previous prime is 231123402361. The next prime is 231123402401. The reversal of 231123402400 is 4204321132.

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

It is not an unprimeable number, because it can be changed into a prime (231123402401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7843695 + ... + 7873105.

It is an arithmetic number, because the mean of its divisors is an integer number (2297665440).

Almost surely, 2231123402400 is an apocalyptic number.

231123402400 is a gapful number since it is divisible by the number (20) 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 231123402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330863823360).

231123402400 is an abundant number, since it is smaller than the sum of its proper divisors (430604244320).

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

231123402400 is a wasteful number, since it uses less digits than its factorization.

231123402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 231123402400 its reverse (4204321132), we get a palindrome (235327723532).

The spelling of 231123402400 in words is "two hundred thirty-one billion, one hundred twenty-three million, four hundred two thousand, four hundred".