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135345310401 = 37291072077027
BaseRepresentation
bin111111000001100110…
…1011000101011000001
3110221100110002011000010
41332003031120223001
54204141344413101
6142102103415133
712530661104460
oct1760315305301
9427313064003
10135345310401
1152443998a34
1222292a544a9
13c9bc436bb2
14679d3769d7
1537c22792d6
hex1f83358ac1

135345310401 has 32 divisors (see below), whose sum is σ = 215346263040. Its totient is φ = 73975358016.

The previous prime is 135345310369. The next prime is 135345310421. The reversal of 135345310401 is 104013543531.

It is not a de Polignac number, because 135345310401 - 25 = 135345310369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135345310421) 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, 973351 + ... + 1103676.

It is an arithmetic number, because the mean of its divisors is an integer number (6729570720).

Almost surely, 2135345310401 is an apocalyptic number.

It is an amenable number.

135345310401 is a deficient number, since it is larger than the sum of its proper divisors (80000952639).

135345310401 is a wasteful number, since it uses less digits than its factorization.

135345310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077173.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 135345310401 its reverse (104013543531), we get a palindrome (239358853932).

The spelling of 135345310401 in words is "one hundred thirty-five billion, three hundred forty-five million, three hundred ten thousand, four hundred one".

Divisors: 1 3 7 21 29 87 107 203 321 609 749 2247 3103 9309 21721 65163 2077027 6231081 14539189 43617567 60233783 180701349 222241889 421636481 666725667 1264909443 1555693223 4667079669 6445014781 19335044343 45115103467 135345310401