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993412404101 = 13181432797571
BaseRepresentation
bin11100111010010111111…
…11100101001110000101
310111222011121200212202202
432131023333211032011
5112234002033412401
62040211203244245
7131525454053045
oct16351377451605
93458147625682
10993412404101
11353338449667
12140643979685
13728a85580c0
143611d59d725
151ac9326106b
hexe74bfe5385

993412404101 has 16 divisors (see below), whose sum is σ = 1075999037568. Its totient is φ = 911709691200.

The previous prime is 993412404037. The next prime is 993412404109. The reversal of 993412404101 is 101404214399.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 993412404101 - 26 = 993412404037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993412404109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10132646 + ... + 10230216.

It is an arithmetic number, because the mean of its divisors is an integer number (67249939848).

Almost surely, 2993412404101 is an apocalyptic number.

It is an amenable number.

993412404101 is a deficient number, since it is larger than the sum of its proper divisors (82586633467).

993412404101 is a wasteful number, since it uses less digits than its factorization.

993412404101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102092.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 993412404101 in words is "nine hundred ninety-three billion, four hundred twelve million, four hundred four thousand, one hundred one".

Divisors: 1 13 181 2353 4327 56251 97571 783187 1268423 10181431 17660351 229584563 422189717 5488466321 76416338777 993412404101