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993112023133 = 29269127305733
BaseRepresentation
bin11100111001110100001…
…01101110000001011101
310111221101200110221112201
432130322011232001131
5112232343134220013
62040121313131501
7131515145625556
oct16347205560135
93457350427481
10993112023133
113531a3934a2a
1214057b259b91
137285b255a99
14360d172b32d
151ac76bc93dd
hexe73a16e05d

993112023133 has 8 divisors (see below), whose sum is σ = 1031176445400. Its totient is φ = 955302212928.

The previous prime is 993112023023. The next prime is 993112023161. The reversal of 993112023133 is 331320211399.

It can be written as a sum of positive squares in 4 ways, for example, as 38745198244 + 954366824889 = 196838^2 + 976917^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993112023133 - 217 = 993111892061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993112023092 and 993112023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993112023173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63645066 + ... + 63660667.

It is an arithmetic number, because the mean of its divisors is an integer number (128897055675).

Almost surely, 2993112023133 is an apocalyptic number.

It is an amenable number.

993112023133 is a deficient number, since it is larger than the sum of its proper divisors (38064422267).

993112023133 is a wasteful number, since it uses less digits than its factorization.

993112023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127306031.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 993112023133 in words is "nine hundred ninety-three billion, one hundred twelve million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 29 269 7801 127305733 3691866257 34245242177 993112023133