Search a number
-
+
1013697042813 = 33713412575109
BaseRepresentation
bin11101100000001010000…
…11010101100101111101
310120220112021211021221000
432300011003111211331
5113102022420332223
62053404101400513
7133144233460320
oct16600503254575
93526467737830
101013697042813
113609a760a994
12144565109139
137478bbb28c0
14370c55ba7b7
151b57dea4543
hexec050d597d

1013697042813 has 32 divisors (see below), whose sum is σ = 1848336492800. Its totient is φ = 534697339968.

The previous prime is 1013697042781. The next prime is 1013697042857. The reversal of 1013697042813 is 3182407963101.

1013697042813 is a `hidden beast` number, since 1 + 0 + 1 + 369 + 7 + 0 + 4 + 281 + 3 = 666.

1013697042813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013697042813 - 25 = 1013697042781 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 (1013697042893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206285098 + ... + 206290011.

It is an arithmetic number, because the mean of its divisors is an integer number (57760515400).

Almost surely, 21013697042813 is an apocalyptic number.

1013697042813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013697042813 is a deficient number, since it is larger than the sum of its proper divisors (834639449987).

1013697042813 is a wasteful number, since it uses less digits than its factorization.

1013697042813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412575138 (or 412575132 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1013697042813 in words is "one trillion, thirteen billion, six hundred ninety-seven million, forty-two thousand, eight hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 412575109 1237725327 2888025763 3713175981 5363476417 8664077289 11139527943 16090429251 25992231867 37544334919 48271287753 77976695601 112633004757 144813863259 337899014271 1013697042813