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135235010001 = 37134639106783
BaseRepresentation
bin111110111110010100…
…0100111110111010001
3110221001202112022022010
41331330220213313101
54203430130310001
6142043123333133
712525151422120
oct1757450476721
9427052468263
10135235010001
1152397701683
1222261b211a9
13c9a2627ba0
14678c863ab7
1537b773c8d6
hex1f7ca27dd1

135235010001 has 32 divisors (see below), whose sum is σ = 221974036480. Its totient is φ = 71316707904.

The previous prime is 135235009981. The next prime is 135235010023. The reversal of 135235010001 is 100010532531.

It is not a de Polignac number, because 135235010001 - 25 = 135235009969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135235010001.

It is not an unprimeable number, because it can be changed into a prime (135235510001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213056 + ... + 1319838.

It is an arithmetic number, because the mean of its divisors is an integer number (6936688640).

Almost surely, 2135235010001 is an apocalyptic number.

It is an amenable number.

135235010001 is a deficient number, since it is larger than the sum of its proper divisors (86739026479).

135235010001 is a wasteful number, since it uses less digits than its factorization.

135235010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111445.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 135235010001 its reverse (100010532531), we get a palindrome (235245542532).

The spelling of 135235010001 in words is "one hundred thirty-five billion, two hundred thirty-five million, ten thousand, one".

Divisors: 1 3 7 13 21 39 91 273 4639 13917 32473 60307 97419 106783 180921 320349 422149 747481 1266447 1388179 2242443 4164537 9717253 29151759 495366337 1486099011 3467564359 6439762381 10402693077 19319287143 45078336667 135235010001