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135301470255 = 33572171203161
BaseRepresentation
bin111111000000010011…
…0001001100000101111
3110221020101120211122000
41332000212021200233
54204044134022010
6142053500023343
712526616343600
oct1760046114057
9427211524560
10135301470255
1152421175206
1222280231b53
13c9b3327493
146797603da7
1537bd4b97c0
hex1f8098982f

135301470255 has 96 divisors (see below), whose sum is σ = 296266610880. Its totient is φ = 58213693440.

The previous prime is 135301470253. The next prime is 135301470263. The reversal of 135301470255 is 552074103531.

135301470255 is a `hidden beast` number, since 1 + 3 + 530 + 1 + 4 + 70 + 2 + 55 = 666.

It is not a de Polignac number, because 135301470255 - 21 = 135301470253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135301470253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489126 + ... + 714035.

It is an arithmetic number, because the mean of its divisors is an integer number (3086110530).

Almost surely, 2135301470255 is an apocalyptic number.

135301470255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135301470255 is an abundant number, since it is smaller than the sum of its proper divisors (160965140625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135301470255 is a wasteful number, since it uses less digits than its factorization.

135301470255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203206 (or 1203193 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 135301470255 its reverse (552074103531), we get a palindrome (687375573786).

The spelling of 135301470255 in words is "one hundred thirty-five billion, three hundred one million, four hundred seventy thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 85 105 119 135 147 153 189 245 255 315 357 441 459 595 735 765 833 945 1071 1323 1785 2205 2295 2499 3213 4165 5355 6615 7497 12495 16065 22491 37485 112455 1203161 3609483 6015805 8422127 10828449 18047415 20453737 25266381 32485347 42110635 54142245 58954889 61361211 75799143 102268685 126331905 143176159 162426735 176864667 184083633 227397429 294774445 306806055 378995715 429528477 530594001 552250899 715880795 884323335 920418165 1002233113 1136987145 1288585431 1591782003 2147642385 2652970005 2761254495 3006699339 3865756293 5011165565 6442927155 7958910015 9020098017 15033496695 19328781465 27060294051 45100490085 135301470255