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30931200000 = 2113355179
BaseRepresentation
bin11100110011101001…
…001010100000000000
32221211122111202122000
4130303221022200000
51001321341400000
622113134544000
72143334601441
oct346351124000
987748452560
1030931200000
1112132946408
125bb2968000
132bbc293a0c
1416d5da72c8
15c1076a000
hex733a4a800

30931200000 has 576 divisors, whose sum is σ = 115164504000. Its totient is φ = 8202240000.

The previous prime is 30931199989. The next prime is 30931200067. The reversal of 30931200000 is 213903.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799911 + ... + 172800089.

It is an arithmetic number, because the mean of its divisors is an integer number (199938375).

Almost surely, 230931200000 is an apocalyptic number.

30931200000 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 30931200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57582252000).

30931200000 is an abundant number, since it is smaller than the sum of its proper divisors (84233304000).

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

30931200000 is an frugal number, since it uses more digits than its factorization.

30931200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 189 counting only the distinct ones).

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

Adding to 30931200000 its reverse (213903), we get a palindrome (30931413903).

The spelling of 30931200000 in words is "thirty billion, nine hundred thirty-one million, two hundred thousand".