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301102221312 = 21132101161741
BaseRepresentation
bin1000110000110110001…
…01110100100000000000
31001210012022221200010200
410120123011310200000
514413124132040222
6350154025325200
730516410436504
oct4303305644000
91053168850120
10301102221312
11106773399502
124a432636800
13225172a9679
141080569c304
157c74332eac
hex461b174800

301102221312 has 144 divisors (see below), whose sum is σ = 878254207740. Its totient is φ = 99373056000.

The previous prime is 301102221283. The next prime is 301102221313. The reversal of 301102221312 is 213122201103.

301102221312 is a `hidden beast` number, since 30 + 1 + 102 + 221 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 294301910016 + 6800311296 = 542496^2 + 82464^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (301102221313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1780762 + ... + 1942502.

Almost surely, 2301102221312 is an apocalyptic number.

301102221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439127103870).

301102221312 is an abundant number, since it is smaller than the sum of its proper divisors (577151986428).

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

301102221312 is a wasteful number, since it uses less digits than its factorization.

301102221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161870 (or 161847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 301102221312 its reverse (213122201103), we get a palindrome (514224422415).

The spelling of 301102221312 in words is "three hundred one billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1818 2048 2304 2424 3072 3232 3636 4608 4848 6144 6464 7272 9216 9696 12928 14544 18432 19392 25856 29088 38784 51712 58176 77568 103424 116352 155136 161741 206848 232704 310272 323482 465408 485223 620544 646964 930816 970446 1293928 1455669 1861632 1940892 2587856 2911338 3881784 5175712 5822676 7763568 10351424 11645352 15527136 16335841 20702848 23290704 31054272 32671682 41405696 46581408 49007523 62108544 65343364 82811392 93162816 98015046 124217088 130686728 147022569 165622784 186325632 196030092 248434176 261373456 294045138 331245568 372651264 392060184 496868352 522746912 588090276 745302528 784120368 993736704 1045493824 1176180552 1490605056 1568240736 2090987648 2352361104 2981210112 3136481472 4181975296 4704722208 6272962944 8363950592 9409444416 12545925888 16727901184 18818888832 25091851776 33455802368 37637777664 50183703552 75275555328 100367407104 150551110656 301102221312