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253461342013 = 11312100135393
BaseRepresentation
bin1110110000001101111…
…0010010011100111101
3220020020011020020201121
43230003132102130331
513123042100421023
6312234420110541
724212002600615
oct3540336223475
9806204206647
10253461342013
1198546357790
1241157835451
131ab94211769
14c3a63c9a45
1568d6b3bd5d
hex3b0379273d

253461342013 has 16 divisors (see below), whose sum is σ = 285444398592. Its totient is φ = 222969600000.

The previous prime is 253461342007. The next prime is 253461342037. The reversal of 253461342013 is 310243164352.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 253461342013 - 29 = 253461341501 is a prime.

It is a super-3 number, since 3×2534613420133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253461342013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253461342413) 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, 7143645 + ... + 7179037.

It is an arithmetic number, because the mean of its divisors is an integer number (17840274912).

Almost surely, 2253461342013 is an apocalyptic number.

It is an amenable number.

253461342013 is a deficient number, since it is larger than the sum of its proper divisors (31983056579).

253461342013 is a wasteful number, since it uses less digits than its factorization.

253461342013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56436.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 253461342013 in words is "two hundred fifty-three billion, four hundred sixty-one million, three hundred forty-two thousand, thirteen".

Divisors: 1 11 31 341 21001 35393 231011 389323 651031 1097183 7161341 12069013 743288393 8176172323 23041940183 253461342013