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10101110221220 = 22511324130196143
BaseRepresentation
bin1001001011111101100100…
…0101100010100110100100
31022202122201201221200021112
42102333121011202212210
52310444033204034340
633252215212004152
72061531633136334
oct222773105424644
938678651850245
1010101110221220
113244947425817
1211717b5460658
135836b89870a5
1426cc797cd0c4
15127b46882065
hex92fd91629a4

10101110221220 has 96 divisors (see below), whose sum is σ = 21499465236480. Its totient is φ = 3986101002240.

The previous prime is 10101110221133. The next prime is 10101110221283. The reversal of 10101110221220 is 2212201110101.

It is a junction number, because it is equal to n+sod(n) for n = 10101110221195 and 10101110221204.

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, 1644325469 + ... + 1644331611.

It is an arithmetic number, because the mean of its divisors is an integer number (223952762880).

Almost surely, 210101110221220 is an apocalyptic number.

10101110221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110221220 is an abundant number, since it is smaller than the sum of its proper divisors (11398355015260).

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

10101110221220 is a wasteful number, since it uses less digits than its factorization.

10101110221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10101110221220 its reverse (2212201110101), we get a palindrome (12313311331321).

The spelling of 10101110221220 in words is "ten trillion, one hundred one billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 241 452 482 565 964 1130 1205 2260 2410 3019 4820 6038 6143 12076 12286 15095 24572 27233 30190 30715 54466 60380 61430 108932 122860 136165 272330 341147 544660 682294 694159 727579 1364588 1388318 1455158 1480463 1705735 2776636 2910316 2960926 3411470 3470795 3637895 5921852 6822940 6941590 7275790 7402315 13883180 14551580 14804630 18545717 29609260 37091434 74182868 82216427 92728585 164432854 167292319 185457170 328865708 334584638 370914340 411082135 669169276 822164270 836461595 1644328540 1672923190 2095666021 3345846380 4191332042 4469517797 8382664084 8939035594 10478330105 17878071188 20956660210 22347588985 41913320420 44695177970 89390355940 505055511061 1010111022122 2020222044244 2525277555305 5050555110610 10101110221220