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10220431101104 = 247414289518933
BaseRepresentation
bin1001010010111010000100…
…1010100100110010110000
31100012001201102020102010002
42110232201022210302300
52314422420330213404
633423111244325132
72103254544652610
oct224564112446260
940161642212102
1010220431101104
113290507a01944
1211909558437a8
13591a23262b23
14274958874a40
1512accbddbc1e
hex94ba12a4cb0

10220431101104 has 80 divisors (see below), whose sum is σ = 23188378973760. Its totient is φ = 4272346398720.

The previous prime is 10220431101061. The next prime is 10220431101113. The reversal of 10220431101104 is 40110113402201.

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, 19435622 + ... + 19954554.

It is an arithmetic number, because the mean of its divisors is an integer number (289854737172).

Almost surely, 210220431101104 is an apocalyptic number.

10220431101104 is a gapful number since it is divisible by the number (14) 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 10220431101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594189486880).

10220431101104 is an abundant number, since it is smaller than the sum of its proper divisors (12967947872656).

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

10220431101104 is a wasteful number, since it uses less digits than its factorization.

10220431101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523278 (or 523272 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10220431101104 its reverse (40110113402201), we get a palindrome (50330544503305).

The spelling of 10220431101104 in words is "ten trillion, two hundred twenty billion, four hundred thirty-one million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4289 4592 8578 17156 30023 34312 60046 68624 120092 175849 240184 351698 480368 518933 703396 1037866 1230943 1406792 2075732 2461886 2813584 3632531 4151464 4923772 7265062 8302928 9847544 14530124 19695088 21276253 29060248 42552506 58120496 85105012 148933771 170210024 297867542 340420048 595735084 1191470168 2225703637 2382940336 4451407274 8902814548 15579925459 17805629096 31159850918 35611258192 62319701836 91253849117 124639403672 182507698234 249278807344 365015396468 638776943819 730030792936 1277553887638 1460061585872 2555107775276 5110215550552 10220431101104