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10223130023344 = 247472239867389
BaseRepresentation
bin1001010011000100001000…
…0010001001010110110000
31100012022200111201212102001
42110301002002021112300
52314443432241221334
633424235135503344
72103411456266560
oct224610202112660
940168614655361
1010223130023344
113291672422097
121191389687b54
1359206345cb34
14274b330a6da0
1512add8d0c714
hex94c420895b0

10223130023344 has 80 divisors (see below), whose sum is σ = 23128919654400. Its totient is φ = 4286201271552.

The previous prime is 10223130023339. The next prime is 10223130023363. The reversal of 10223130023344 is 44332003132201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 11352402 + ... + 12219790.

It is an arithmetic number, because the mean of its divisors is an integer number (289111495680).

Almost surely, 210223130023344 is an apocalyptic number.

10223130023344 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 10223130023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564459827200).

10223130023344 is an abundant number, since it is smaller than the sum of its proper divisors (12905789631056).

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

10223130023344 is a wasteful number, since it uses less digits than its factorization.

10223130023344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869690 (or 869684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10223130023344 its reverse (44332003132201), we get a palindrome (54555133155545).

The spelling of 10223130023344 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2239 2632 4478 5264 8956 15673 17912 31346 35824 62692 105233 125384 210466 250768 420932 736631 841864 867389 1473262 1683728 1734778 2946524 3469556 5893048 6071723 6939112 11786096 12143446 13878224 24286892 40767283 48573784 81534566 97147568 163069132 285370981 326138264 570741962 652276528 1141483924 1942083971 2282967848 3884167942 4565935696 7768335884 13594587797 15536671768 27189175594 31073343536 54378351188 91277946637 108756702376 182555893274 217513404752 365111786548 638945626459 730223573096 1277891252918 1460447146192 2555782505836 5111565011672 10223130023344