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301100042540 = 2251119210137537
BaseRepresentation
bin1000110000110101111…
…01100000100100101100
31001210012011211222102102
410120122331200210230
514413123102330130
6350153510514232
730516353063423
oct4303275404454
91053164758372
10301100042540
11106772140570
124a431965978
13225169c5a5b
14108052922ba
157c74052645
hex461af6092c

301100042540 has 144 divisors (see below), whose sum is σ = 735236085024. Its totient is φ = 102698496000.

The previous prime is 301100042533. The next prime is 301100042543. The reversal of 301100042540 is 45240001103.

It is a super-2 number, since 2×3011000425402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (301100042543) 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 47 ways as a sum of consecutive naturals, for example, 8002652 + ... + 8040188.

It is an arithmetic number, because the mean of its divisors is an integer number (5105806146).

Almost surely, 2301100042540 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 301100042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367618042512).

301100042540 is an abundant number, since it is smaller than the sum of its proper divisors (434136042484).

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

301100042540 is a wasteful number, since it uses less digits than its factorization.

301100042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37696 (or 37675 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 301100042540 its reverse (45240001103), we get a palindrome (346340043643).

The spelling of 301100042540 in words is "three hundred one billion, one hundred million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 361 380 404 418 505 722 836 1010 1045 1111 1444 1805 1919 2020 2090 2222 3610 3838 3971 4180 4444 5555 7220 7676 7942 9595 11110 15884 19190 19855 21109 22220 36461 37537 38380 39710 42218 72922 75074 79420 84436 105545 145844 150148 182305 187685 211090 364610 375370 401071 412907 422180 713203 729220 750740 802142 825814 1426406 1604284 1651628 2005355 2064535 2852812 3566015 3791237 4010710 4129070 7132030 7582474 7845233 8021420 8258140 13550857 14264060 15164948 15690466 18956185 27101714 31380932 37912370 39226165 41703607 54203428 67754285 72033503 75824740 78452330 83407214 135508570 144067006 149059427 156904660 166814428 208518035 271017140 288134012 298118854 360167515 417036070 596237708 720335030 745297135 792368533 834072140 1368636557 1440670060 1490594270 1584737066 2737273114 2981188540 3169474132 3961842665 5474546228 6843182785 7923685330 13686365570 15055002127 15847370660 27372731140 30110004254 60220008508 75275010635 150550021270 301100042540