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10321441120 = 255596716319
BaseRepresentation
bin10011001110011010…
…01011000101100000
3222122022121112110001
421213031023011200
5132114242103440
64424104145344
7513526542034
oct114715130540
928568545401
1010321441120
114417203531
122000768254
13c86484613
146dcb181c4
15406204b9a
hex26734b160

10321441120 has 96 divisors (see below), whose sum is σ = 25169356800. Its totient is φ = 3997779456.

The previous prime is 10321441051. The next prime is 10321441139. The reversal of 10321441120 is 2114412301.

It is a congruent number.

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, 624321 + ... + 640639.

It is an arithmetic number, because the mean of its divisors is an integer number (262180800).

Almost surely, 210321441120 is an apocalyptic number.

10321441120 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 10321441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584678400).

10321441120 is an abundant number, since it is smaller than the sum of its proper divisors (14847915680).

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

10321441120 is a wasteful number, since it uses less digits than its factorization.

10321441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16460 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10321441120 its reverse (2114412301), we get a palindrome (12435853421).

The spelling of 10321441120 in words is "ten billion, three hundred twenty-one million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 67 80 118 134 160 236 268 295 335 472 536 590 670 944 1072 1180 1340 1888 2144 2360 2680 3953 4720 5360 7906 9440 10720 15812 16319 19765 31624 32638 39530 63248 65276 79060 81595 126496 130552 158120 163190 261104 316240 326380 522208 632480 652760 962821 1093373 1305520 1925642 2186746 2611040 3851284 4373492 4814105 5466865 7702568 8746984 9628210 10933730 15405136 17493968 19256420 21867460 30810272 34987936 38512840 43734920 64509007 77025680 87469840 129018014 154051360 174939680 258036028 322545035 516072056 645090070 1032144112 1290180140 2064288224 2580360280 5160720560 10321441120