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10221220301320 = 2357210315058107
BaseRepresentation
bin1001010010111101000000…
…1101001000101000001000
31100012010202102020221021201
42110233100031020220020
52314431024344120240
633423321435513544
72103313240026100
oct224572015105010
940163672227251
1010221220301320
113290882436726
121190b35bb88b4
13591b1a9040c2
142749d15cc200
1512ad2632dd9a
hex94bd0348a08

10221220301320 has 96 divisors (see below), whose sum is σ = 26778433049280. Its totient is φ = 3501018648960.

The previous prime is 10221220301317. The next prime is 10221220301333. The reversal of 10221220301320 is 2310302212201.

It is a super-2 number, since 2×102212203013202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508294 + ... + 4549813.

It is an arithmetic number, because the mean of its divisors is an integer number (278942010930).

Almost surely, 210221220301320 is an apocalyptic number.

10221220301320 is a gapful number since it is divisible by the number (10) 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 10221220301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389216524640).

10221220301320 is an abundant number, since it is smaller than the sum of its proper divisors (16557212747960).

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

10221220301320 is a wasteful number, since it uses less digits than its factorization.

10221220301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059163 (or 5059152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10221220301320 its reverse (2310302212201), we get a palindrome (12531522513521).

The spelling of 10221220301320 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1031 1960 2062 4124 5155 7217 8248 10310 14434 20620 28868 36085 41240 50519 57736 72170 101038 144340 202076 252595 288680 404152 505190 1010380 2020760 5058107 10116214 20232428 25290535 35406749 40464856 50581070 70813498 101162140 141626996 177033745 202324280 247847243 283253992 354067490 495694486 708134980 991388972 1239236215 1416269960 1982777944 2478472430 4956944860 5214908317 9913889720 10429816634 20859633268 26074541585 36504358219 41719266536 52149083170 73008716438 104298166340 146017432876 182521791095 208596332680 255530507533 292034865752 365043582190 511061015066 730087164380 1022122030132 1277652537665 1460174328760 2044244060264 2555305075330 5110610150660 10221220301320