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31422213000 = 23325337127743
BaseRepresentation
bin11101010000111010…
…001110101110001000
310000002212102210211200
4131100322032232020
51003323041304000
622233555024200
72161446255303
oct352072165610
9100085383750
1031422213000
1112365024782
12610b29b060
132c69c20359
14174129db3a
15c3d90a500
hex750e8eb88

31422213000 has 384 divisors, whose sum is σ = 110084382720. Its totient is φ = 8077708800.

The previous prime is 31422212989. The next prime is 31422213029. The reversal of 31422213000 is 31222413.

31422213000 is a `hidden beast` number, since 3 + 142 + 221 + 300 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42290629 + ... + 42291371.

It is an arithmetic number, because the mean of its divisors is an integer number (286678080).

Almost surely, 231422213000 is an apocalyptic number.

31422213000 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 31422213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55042191360).

31422213000 is an abundant number, since it is smaller than the sum of its proper divisors (78662169720).

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

31422213000 is a wasteful number, since it uses less digits than its factorization.

31422213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31422213000 its reverse (31222413), we get a palindrome (31453435413).

The spelling of 31422213000 in words is "thirty-one billion, four hundred twenty-two million, two hundred thirteen thousand".