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221230130211120 = 24351234277468319
BaseRepresentation
bin110010010011010100100111…
…010100110010100100110000
31002000022101122011002222122210
4302103110213110302210300
5212444113301313223440
62102303415131132120
764412230601531532
oct6223244724624460
91060271564088583
10221230130211120
1164544198056aa8
122098ba6aba4040
139659bb11b32b4
143c8b849c2b852
151a89a83daaa80
hexc93527532930

221230130211120 has 80 divisors (see below), whose sum is σ = 685819051914240. Its totient is φ = 58994215517952.

The previous prime is 221230130211073. The next prime is 221230130211149. The reversal of 221230130211120 is 21112031032122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2212301302111202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25888321 + ... + 33356639.

It is an arithmetic number, because the mean of its divisors is an integer number (8572738148928).

Almost surely, 2221230130211120 is an apocalyptic number.

221230130211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230130211120 is an abundant number, since it is smaller than the sum of its proper divisors (464588921703120).

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

221230130211120 is a wasteful number, since it uses less digits than its factorization.

221230130211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591762 (or 7591756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221230130211120 its reverse (21112031032122), we get a palindrome (242342161243242).

The spelling of 221230130211120 in words is "two hundred twenty-one trillion, two hundred thirty billion, one hundred thirty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 123427 246854 370281 493708 617135 740562 987416 1234270 1481124 1851405 1974832 2468540 2962248 3702810 4937080 5924496 7405620 7468319 9874160 14811240 14936638 22404957 29622480 29873276 37341595 44809914 59746552 74683190 89619828 112024785 119493104 149366380 179239656 224049570 298732760 358479312 448099140 597465520 896198280 1792396560 921792209213 1843584418426 2765376627639 3687168836852 4608961046065 5530753255278 7374337673704 9217922092130 11061506510556 13826883138195 14748675347408 18435844184260 22123013021112 27653766276390 36871688368520 44246026042224 55307532552780 73743376737040 110615065105560 221230130211120