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31341143400 = 23352743173539
BaseRepresentation
bin11101001100000100…
…111110010101101000
32222220012220001020220
4131030010332111220
51003141313042100
622221541250040
72156443215630
oct351404762550
988805801226
1031341143400
1112323292a06
1260a8103920
132c561a7188
1417345d96c0
15c36744aa0
hex74c13e568

31341143400 has 192 divisors, whose sum is σ = 113620108800. Its totient is φ = 6997052160.

The previous prime is 31341143399. The next prime is 31341143413. The reversal of 31341143400 is 434114313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 93831 + ... + 267369.

It is an arithmetic number, because the mean of its divisors is an integer number (591771400).

Almost surely, 231341143400 is an apocalyptic number.

31341143400 is a gapful number since it is divisible by the number (30) 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 31341143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56810054400).

31341143400 is an abundant number, since it is smaller than the sum of its proper divisors (82278965400).

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

31341143400 is a wasteful number, since it uses less digits than its factorization.

31341143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173608 (or 173599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31341143400 its reverse (434114313), we get a palindrome (31775257713).

The spelling of 31341143400 in words is "thirty-one billion, three hundred forty-one million, one hundred forty-three thousand, four hundred".