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1314012400101 = 32367742599323
BaseRepresentation
bin10011000111110001001…
…111100000100111100101
311122121200210011010112200
4103013301033200213211
5133012044133300401
62443352102005113
7163635311053662
oct23076117404745
94577623133480
101314012400101
114672a681a845
121927b8116799
1396bac15844b
144785456ca69
15242a91a7686
hex131f13e09e5

1314012400101 has 24 divisors (see below), whose sum is σ = 1899183555360. Its totient is φ = 875470484256.

The previous prime is 1314012400069. The next prime is 1314012400157. The reversal of 1314012400101 is 1010042104131.

1314012400101 is a `hidden beast` number, since 13 + 1 + 401 + 240 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 1314012400101 - 25 = 1314012400069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314012400301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140938426 + ... + 140947748.

It is an arithmetic number, because the mean of its divisors is an integer number (79132648140).

Almost surely, 21314012400101 is an apocalyptic number.

It is an amenable number.

1314012400101 is a deficient number, since it is larger than the sum of its proper divisors (585171155259).

1314012400101 is a wasteful number, since it uses less digits than its factorization.

1314012400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17265 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1314012400101 its reverse (1010042104131), we get a palindrome (2324054504232).

The spelling of 1314012400101 in words is "one trillion, three hundred fourteen billion, twelve million, four hundred thousand, one hundred one".

Divisors: 1 3 9 3677 4259 9323 11031 12777 27969 33093 38331 83907 15660343 34280671 39706657 46981029 102842013 119119971 140943087 308526039 357359913 146001377789 438004133367 1314012400101