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301132243134 = 2357914952639
BaseRepresentation
bin1000110000111001110…
…00010110000010111110
31001210021102102221100000
410120130320112002332
514413204323240014
6350201021015130
730520223555622
oct4303470260276
91053242387300
10301132243134
11106789334328
124a4406b44a6
132252058b568
1410809675182
157c76cb3509
hex461ce160be

301132243134 has 96 divisors (see below), whose sum is σ = 689794560000. Its totient is φ = 98439797664.

The previous prime is 301132243123. The next prime is 301132243147. The reversal of 301132243134 is 431342231103.

It is a happy number.

301132243134 is a `hidden beast` number, since 301 + 1 + 3 + 224 + 3 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 301132243098 and 301132243107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694387 + ... + 5747025.

It is an arithmetic number, because the mean of its divisors is an integer number (7185360000).

Almost surely, 2301132243134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301132243134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344897280000).

301132243134 is an abundant number, since it is smaller than the sum of its proper divisors (388662316866).

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

301132243134 is a wasteful number, since it uses less digits than its factorization.

301132243134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52884 (or 52872 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 301132243134 its reverse (431342231103), we get a palindrome (732474474237).

The spelling of 301132243134 in words is "three hundred one billion, one hundred thirty-two million, two hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 81 149 158 162 237 243 298 447 474 486 711 894 1341 1422 2133 2682 4023 4266 6399 8046 11771 12069 12798 19197 23542 24138 35313 36207 38394 52639 70626 72414 105278 105939 157917 211878 315834 317817 473751 635634 947502 953451 1421253 1906902 2842506 2860353 4158481 4263759 5720706 7843211 8316962 8527518 12475443 12791277 15686422 23529633 24950886 25582554 37426329 47059266 70588899 74852658 112278987 141177798 211766697 224557974 336836961 423533394 619613669 635300091 673673922 1010510883 1239227338 1270600182 1858841007 1905900273 2021021766 3717682014 3811800546 5576523021 11153046042 16729569063 33459138126 50188707189 100377414378 150566121567 301132243134