Search a number
-
+
302131122304 = 271131993337
BaseRepresentation
bin1000110010110000110…
…10110001000010000000
31001212212001000020221211
410121120122301002000
514422231031403204
6350444102255504
730554043111034
oct4313032610200
91055761006854
10302131122304
11107151162000
124a67b127594
132264c4c551b
14108a21b01c4
157cd4822804
hex46586b1080

302131122304 has 128 divisors (see below), whose sum is σ = 696898843200. Its totient is φ = 130102917120.

The previous prime is 302131122253. The next prime is 302131122313. The reversal of 302131122304 is 403221131203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3190324 + ... + 3283660.

Almost surely, 2302131122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302131122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348449421600).

302131122304 is an abundant number, since it is smaller than the sum of its proper divisors (394767720896).

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

302131122304 is an equidigital number, since it uses as much as digits as its factorization.

302131122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93403 (or 93369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 302131122304 its reverse (403221131203), we get a palindrome (705352253507).

The spelling of 302131122304 in words is "three hundred two billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 304 352 418 484 608 704 836 968 1216 1331 1408 1672 1936 2299 2432 2662 3344 3872 4598 5324 6688 7744 9196 10648 13376 15488 18392 21296 25289 26752 36784 42592 50578 73568 85184 93337 101156 147136 170368 186674 202312 294272 373348 404624 746696 809248 1026707 1493392 1618496 1773403 2053414 2986784 3236992 3546806 4106828 5973568 7093612 8213656 11293777 11947136 14187224 16427312 19507433 22587554 28374448 32854624 39014866 45175108 56748896 65709248 78029732 90350216 113497792 124231547 131418496 156059464 180700432 214581763 226995584 248463094 312118928 361400864 429163526 496926188 624237856 722801728 858327052 993852376 1248475712 1445603456 1716654104 1987704752 2360399393 2496951424 3433308208 3975409504 4720798786 6866616416 7950819008 9441597572 13733232832 15901638016 18883195144 27466465664 37766390288 75532780576 151065561152 302131122304