Search a number
-
+
301220021100 = 223522837394801
BaseRepresentation
bin1000110001000100001…
…11001100001101101100
31001210111112121112001210
410120202013030031230
514413344311133400
6350213434234420
730522340635225
oct4304207141554
91053445545053
10301220021100
111068239381a9
124a465b85a10
1322535812c9b
14108171a424c
157c7e851950
hex46221cc36c

301220021100 has 144 divisors (see below), whose sum is σ = 875975461760. Its totient is φ = 79916544000.

The previous prime is 301220021083. The next prime is 301220021273. The reversal of 301220021100 is 1120022103.

It is a super-2 number, since 2×3012200211002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 62738700 + ... + 62743500.

Almost surely, 2301220021100 is an apocalyptic number.

301220021100 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 301220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987730880).

301220021100 is an abundant number, since it is smaller than the sum of its proper divisors (574755440660).

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

301220021100 is a wasteful number, since it uses less digits than its factorization.

301220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 301220021100 its reverse (1120022103), we get a palindrome (302340043203).

The spelling of 301220021100 in words is "three hundred one billion, two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 739 849 1132 1415 1478 1698 2217 2830 2956 3396 3695 4245 4434 4801 5660 7075 7390 8490 8868 9602 11085 14150 14403 14780 16980 18475 19204 21225 22170 24005 28300 28806 36950 42450 44340 48010 55425 57612 72015 73900 84900 96020 110850 120025 144030 209137 221700 240050 288060 360075 418274 480100 627411 720150 836548 1045685 1254822 1358683 1440300 2091370 2509644 2717366 3137055 3547939 4076049 4182740 5228425 5434732 6274110 6793415 7095878 8152098 10456850 10643817 12548220 13586830 14191756 15685275 16304196 17739695 20380245 20913700 21287634 27173660 31370550 33967075 35479390 40760490 42575268 53219085 62741100 67934150 70958780 81520980 88698475 101901225 106438170 135868300 177396950 203802450 212876340 266095425 354793900 407604900 532190850 1004066737 1064381700 2008133474 3012200211 4016266948 5020333685 6024400422 10040667370 12048800844 15061001055 20081334740 25101668425 30122002110 50203336850 60244004220 75305005275 100406673700 150610010550 301220021100