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31233013400 = 23524779137307
BaseRepresentation
bin11101000101101000…
…011111011010011000
32222121200102110210002
4131011220133122120
51002431122412100
622203115512132
72153661143051
oct350550373230
988550373702
1031233013400
1112278249276
126077a58648
132c39978024
1417240cd728
15c2bed62d5
hex745a1f698

31233013400 has 192 divisors, whose sum is σ = 75895142400. Its totient is φ = 11945456640.

The previous prime is 31233013379. The next prime is 31233013423. The reversal of 31233013400 is 431033213.

It is a super-2 number, since 2×312330134002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101736047 + ... + 101736353.

It is an arithmetic number, because the mean of its divisors is an integer number (395287200).

Almost surely, 231233013400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37947571200).

31233013400 is an abundant number, since it is smaller than the sum of its proper divisors (44662129000).

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

31233013400 is a wasteful number, since it uses less digits than its factorization.

31233013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31233013400 its reverse (431033213), we get a palindrome (31664046613).

The spelling of 31233013400 in words is "thirty-one billion, two hundred thirty-three million, thirteen thousand, four hundred".