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133023303114030 = 23257594495979601
BaseRepresentation
bin11110001111101111100110…
…101110101001110100101110
3122102222220101201012102002100
4132033233212232221310232
5114413423211044122110
61150530021204035530
740006421313154530
oct3617574656516456
9572886351172070
10133023303114030
113942695877442a
1212b04983092ba6
13592c074bc2554
1424bc50dd27850
15105a394a23bc0
hex78fbe6ba9d2e

133023303114030 has 192 divisors, whose sum is σ = 401982712934400. Its totient is φ = 29888941593600.

The previous prime is 133023303113993. The next prime is 133023303114071. The reversal of 133023303114030 is 30411303320331.

133023303114030 is a `hidden beast` number, since 1 + 3 + 302 + 3 + 3 + 0 + 311 + 40 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133023303113985 and 133023303114003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1671086230 + ... + 1671165830.

It is an arithmetic number, because the mean of its divisors is an integer number (2093659963200).

Almost surely, 2133023303114030 is an apocalyptic number.

133023303114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133023303114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200991356467200).

133023303114030 is an abundant number, since it is smaller than the sum of its proper divisors (268959409820370).

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

133023303114030 is a wasteful number, since it uses less digits than its factorization.

133023303114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124639 (or 124636 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133023303114030 its reverse (30411303320331), we get a palindrome (163434606434361).

The spelling of 133023303114030 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred three million, one hundred fourteen thousand, thirty".