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133123022220000 = 253546533397729
BaseRepresentation
bin11110010001001100011110…
…011100110110101011100000
3122110100102210022021212011110
4132101030132130312223200
5114422041422142020000
61151043512214343320
740016551406450151
oct3621143634665340
9573312708255143
10133123022220000
113946517a5956aa
1212b2017295ab40
1359385a74636b7
1424c328d949928
15105cc7e275850
hex79131e736ae0

133123022220000 has 240 divisors, whose sum is σ = 437338980041040. Its totient is φ = 35445098496000.

The previous prime is 133123022219917. The next prime is 133123022220011. The reversal of 133123022220000 is 22220321331.

It is a happy number.

133123022220000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1331230222200002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37481136 + ... + 40878864.

It is an arithmetic number, because the mean of its divisors is an integer number (1822245750171).

Almost surely, 2133123022220000 is an apocalyptic number.

133123022220000 is a gapful number since it is divisible by the number (10) 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 133123022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218669490020520).

133123022220000 is an abundant number, since it is smaller than the sum of its proper divisors (304215957821040).

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

133123022220000 is an equidigital number, since it uses as much as digits as its factorization.

133123022220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398415 (or 3398392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133123022220000 its reverse (22220321331), we get a palindrome (133145242541331).

The spelling of 133123022220000 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, twenty-two million, two hundred twenty thousand".