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10223220012330 = 23513449220326501
BaseRepresentation
bin1001010011000100011101…
…1001011011010100101010
31100012022220210001210002110
42110301013121123110222
52314444123310343310
633424252112343150
72103413631215253
oct224610731332452
940168823053073
1010223220012330
1132917091a6156
1211913b3844ab6
13592078ca9a60
14274b4100db2a
1512ade1b85d20
hex94c4765b52a

10223220012330 has 128 divisors (see below), whose sum is σ = 26494961068800. Its totient is φ = 2509645824000.

The previous prime is 10223220012323. The next prime is 10223220012367. The reversal of 10223220012330 is 3321002232201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10223220012297 and 10223220012306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385754080 + ... + 385780580.

It is an arithmetic number, because the mean of its divisors is an integer number (206991883350).

Almost surely, 210223220012330 is an apocalyptic number.

10223220012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223220012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247480534400).

10223220012330 is an abundant number, since it is smaller than the sum of its proper divisors (16271741056470).

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

10223220012330 is a wasteful number, since it uses less digits than its factorization.

10223220012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29176.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10223220012330 its reverse (3321002232201), we get a palindrome (13544222244531).

The spelling of 10223220012330 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 449 898 1347 2203 2245 2694 4406 4490 5837 6609 6735 11015 11674 13218 13470 17511 22030 26501 28639 29185 33045 35022 53002 57278 58370 66090 79503 85917 87555 132505 143195 159006 171834 175110 265010 286390 344513 397515 429585 689026 795030 859170 989147 1033539 1722565 1978294 2067078 2967441 3445130 4945735 5167695 5934882 9891470 10335390 11898949 12858911 14837205 23797898 25717822 29674410 35696847 38576733 58381703 59494745 64294555 71393694 77153466 116763406 118989490 128589110 154686337 175145109 178484235 192883665 291908515 309372674 350290218 356968470 385767330 464059011 583817030 758962139 773431685 875725545 928118022 1517924278 1546863370 1751451090 2276886417 2320295055 3794810695 4553772834 4640590110 7589621390 11384432085 22768864170 26213384647 52426769294 78640153941 131066923235 157280307882 262133846470 340774000411 393200769705 681548000822 786401539410 1022322001233 1703870002055 2044644002466 3407740004110 5111610006165 10223220012330