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10223241320 = 2356189179263
BaseRepresentation
bin10011000010101101…
…00100100001101000
3222101110211110122102
421201112210201220
5131414122210240
64410235312532
7511225055165
oct114126444150
928343743572
1010223241320
114376831576
121b938ab748
13c6c021326
146cda7506c
153ec7a8815
hex2615a4868

10223241320 has 128 divisors (see below), whose sum is σ = 23864544000. Its totient is φ = 3939809280.

The previous prime is 10223241317. The next prime is 10223241337. The reversal of 10223241320 is 2314232201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10223241292 and 10223241301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38871509 + ... + 38871771.

It is an arithmetic number, because the mean of its divisors is an integer number (186441750).

Almost surely, 210223241320 is an apocalyptic number.

10223241320 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 10223241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932272000).

10223241320 is an abundant number, since it is smaller than the sum of its proper divisors (13641302680).

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

10223241320 is a wasteful number, since it uses less digits than its factorization.

10223241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223241320 its reverse (2314232201), we get a palindrome (12537473521).

The spelling of 10223241320 in words is "ten billion, two hundred twenty-three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 89 122 178 179 244 263 305 356 358 445 488 526 610 712 716 890 895 1052 1220 1315 1432 1780 1790 2104 2440 2630 3560 3580 5260 5429 7160 10520 10858 10919 15931 16043 21716 21838 23407 27145 31862 32086 43432 43676 46814 47077 54290 54595 63724 64172 79655 80215 87352 93628 94154 108580 109190 117035 127448 128344 159310 160430 187256 188308 217160 218380 234070 235385 318620 320860 376616 436760 468140 470770 637240 641720 936280 941540 971791 1427827 1883080 1943582 2855654 2871697 3887164 4189853 4858955 5711308 5743394 7139135 7774328 8379706 9717910 11422616 11486788 14278270 14358485 16759412 19435820 20949265 22973576 28556540 28716970 33518824 38871640 41898530 57113080 57433940 83797060 114867880 167594120 255581033 511162066 1022324132 1277905165 2044648264 2555810330 5111620660 10223241320