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135052254312 = 233232143114167
BaseRepresentation
bin111110111000110111…
…1011101110001101000
3110220121000122100121220
41331301233131301220
54203041334114222
6142013034302040
712520502135523
oct1756157356150
9426530570556
10135052254312
1152303527618
1222210887920
13c9737ca921
14677248dbba
1537a668cb5c
hex1f71bddc68

135052254312 has 64 divisors (see below), whose sum is σ = 352477716480. Its totient is φ = 43039668672.

The previous prime is 135052254283. The next prime is 135052254319. The reversal of 135052254312 is 213452250531.

135052254312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1350522543122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135052254319) 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 15 ways as a sum of consecutive naturals, for example, 1125853 + ... + 1240019.

It is an arithmetic number, because the mean of its divisors is an integer number (5507464320).

Almost surely, 2135052254312 is an apocalyptic number.

135052254312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135052254312 is an abundant number, since it is smaller than the sum of its proper divisors (217425462168).

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

135052254312 is a wasteful number, since it uses less digits than its factorization.

135052254312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116342 (or 116338 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 135052254312 in words is "one hundred thirty-five billion, fifty-two million, two hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2143 4286 6429 8572 12858 17144 25716 49289 51432 98578 114167 147867 197156 228334 295734 342501 394312 456668 591468 685002 913336 1182936 1370004 2625841 2740008 5251682 7877523 10503364 15755046 21006728 31510092 63020184 244659881 489319762 733979643 978639524 1467959286 1957279048 2935918572 5627177263 5871837144 11254354526 16881531789 22508709052 33763063578 45017418104 67526127156 135052254312