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31422120000 = 263541773211
BaseRepresentation
bin11101010000111001…
…111000000001000000
310000002212021002021020
4131100321320001000
51003323030320000
622233553025440
72161445420205
oct352071700100
9100085232236
1031422120000
1112364a70917
12610b255280
132c69bb9c1b
141741277cac
15c3d8dcba0
hex750e78040

31422120000 has 560 divisors, whose sum is σ = 112035287232. Its totient is φ = 7741440000.

The previous prime is 31422119977. The next prime is 31422120031. The reversal of 31422120000 is 2122413.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 148919895 + ... + 148920105.

Almost surely, 231422120000 is an apocalyptic number.

31422120000 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 31422120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56017643616).

31422120000 is an abundant number, since it is smaller than the sum of its proper divisors (80613167232).

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

31422120000 is a wasteful number, since it uses less digits than its factorization.

31422120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 31422120000 its reverse (2122413), we get a palindrome (31424242413).

The spelling of 31422120000 in words is "thirty-one billion, four hundred twenty-two million, one hundred twenty thousand".