31478100000 has 288 divisors, whose sum is σ = 103919723712. Its totient is φ = 8342400000.

The previous prime is 31478099981. The next prime is 31478100001. The reversal of 31478100000 is 187413.

It is a super-2 number, since 2×31478100000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31478100001) 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, 95099835 + ... + 95100165.

It is an arithmetic number, because the mean of its divisors is an integer number (360832374).

Almost surely, 2^31478100000 is an apocalyptic number.

31478100000 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 31478100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51959861856).

31478100000 is an abundant number, since it is smaller than the sum of its proper divisors (72441623712).

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

31478100000 is an equidigital number, since it uses as much as digits as its factorization.

31478100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 31478100000 its reverse (187413), we get a palindrome (31478287413).

The spelling of 31478100000 in words is "thirty-one billion, four hundred seventy-eight million, one hundred thousand".