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135083804801 = 1121116395081
BaseRepresentation
bin111110111001110011…
…1110100100010000001
3110220200020000021202112
41331303213310202001
54203122423223201
6142020122425105
712521334252461
oct1756347644201
9426606007675
10135083804801
115231a316a00
122221b362195
13c97a1c655a
146776743ba1
1537a93210bb
hex1f739f4881

135083804801 has 6 divisors (see below), whose sum is σ = 148480545906. Its totient is φ = 122803458800.

The previous prime is 135083804777. The next prime is 135083804809. The reversal of 135083804801 is 108408380531.

It can be written as a sum of positive squares in only one way, i.e., 95372880625 + 39710924176 = 308825^2 + 199276^2 .

It is a de Polignac number, because none of the positive numbers 2k-135083804801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135083804809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558197420 + ... + 558197661.

It is an arithmetic number, because the mean of its divisors is an integer number (24746757651).

Almost surely, 2135083804801 is an apocalyptic number.

135083804801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135083804801 is a deficient number, since it is larger than the sum of its proper divisors (13396741105).

135083804801 is a wasteful number, since it uses less digits than its factorization.

135083804801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116395103 (or 1116395092 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 135083804801 in words is "one hundred thirty-five billion, eighty-three million, eight hundred four thousand, eight hundred one".

Divisors: 1 11 121 1116395081 12280345891 135083804801