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301222300020 = 223523355961331
BaseRepresentation
bin1000110001000100011…
…11111000100101110100
31001210111200220022011020
410120202033320211310
514413400402100040
6350213555141140
730522366206265
oct4304217704564
91053450808136
10301222300020
11106825154404
124a4668a47b0
1322536130365
14108175d896c
157c7eb51cd0
hex46223f8974

301222300020 has 96 divisors (see below), whose sum is σ = 880354621440. Its totient is φ = 76810673280.

The previous prime is 301222300007. The next prime is 301222300033. The reversal of 301222300020 is 20003222103.

It is an interprime number because it is at equal distance from previous prime (301222300007) and next prime (301222300033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4880755 + ... + 4942085.

It is an arithmetic number, because the mean of its divisors is an integer number (9170360640).

Almost surely, 2301222300020 is an apocalyptic number.

301222300020 is a gapful number since it is divisible by the number (30) 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 301222300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440177310720).

301222300020 is an abundant number, since it is smaller than the sum of its proper divisors (579132321420).

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

301222300020 is a wasteful number, since it uses less digits than its factorization.

301222300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64925 (or 64923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 301222300020 its reverse (20003222103), we get a palindrome (321225522123).

The spelling of 301222300020 in words is "three hundred one billion, two hundred twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3559 7118 10677 14236 17795 21354 35590 42708 53385 61331 71180 81857 106770 122662 163714 183993 213540 245324 245571 306655 327428 367986 409285 491142 613310 735972 818570 919965 982284 1226620 1227855 1410613 1637140 1839930 2455710 2821226 3679860 4231839 4911420 5642452 7053065 8463678 14106130 16927356 21159195 28212260 42318390 84636780 218277029 436554058 654831087 873108116 1091385145 1309662174 2182770290 2619324348 3274155435 4365540580 5020371667 6548310870 10040743334 13096621740 15061115001 20081486668 25101858335 30122230002 50203716670 60244460004 75305575005 100407433340 150611150010 301222300020