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31309200000 = 27335513223
BaseRepresentation
bin11101001010001011…
…000111101010000000
32222210222210011011000
4131022023013222000
51003110123400000
622214440452000
72155604544321
oct351213075200
988728704130
1031309200000
1112307255401
12609947a000
132c4c6a1760
141730282448
15c33a35000
hex74a2c7a80

31309200000 has 768 divisors, whose sum is σ = 124942003200. Its totient is φ = 7672320000.

The previous prime is 31309199993. The next prime is 31309200011. The reversal of 31309200000 is 290313.

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

It is a congruent number.

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, 140399889 + ... + 140400111.

It is an arithmetic number, because the mean of its divisors is an integer number (162684900).

Almost surely, 231309200000 is an apocalyptic number.

31309200000 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 31309200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62471001600).

31309200000 is an abundant number, since it is smaller than the sum of its proper divisors (93632803200).

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

31309200000 is an equidigital number, since it uses as much as digits as its factorization.

31309200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31309200000 its reverse (290313), we get a palindrome (31309490313).

The spelling of 31309200000 in words is "thirty-one billion, three hundred nine million, two hundred thousand".