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10422651521000 = 235347673309829
BaseRepresentation
bin1001011110101011011001…
…1100010000011111101000
31100220101200111122010002102
42113222312130100133220
52331231042242133000
634100033333552532
72124004010114165
oct227526634203750
940811614563072
1010422651521000
11335924907a404
121203b90aa5748
135a7b0c5b2c14
1428065d7cb06c
151311b52633d5
hex97ab67107e8

10422651521000 has 128 divisors (see below), whose sum is σ = 25279687180800. Its totient is φ = 4019455123200.

The previous prime is 10422651520969. The next prime is 10422651521017. The reversal of 10422651521000 is 12515622401.

It is a super-2 number, since 2×104226515210002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494086 + ... + 4803914.

It is an arithmetic number, because the mean of its divisors is an integer number (197497556100).

Almost surely, 210422651521000 is an apocalyptic number.

10422651521000 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 10422651521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639843590400).

10422651521000 is an abundant number, since it is smaller than the sum of its proper divisors (14857035659800).

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

10422651521000 is a wasteful number, since it uses less digits than its factorization.

10422651521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309964 (or 3309950 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 10422651521000 in words is "ten trillion, four hundred twenty-two billion, six hundred fifty-one million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 67 94 100 125 134 188 200 235 250 268 335 376 470 500 536 670 940 1000 1175 1340 1675 1880 2350 2680 3149 3350 4700 5875 6298 6700 8375 9400 11750 12596 13400 15745 16750 23500 25192 31490 33500 47000 62980 67000 78725 125960 157450 314900 393625 629800 787250 1574500 3149000 3309829 6619658 13239316 16549145 26478632 33098290 66196580 82745725 132393160 155561963 165491450 221758543 311123926 330982900 413728625 443517086 622247852 661965800 777809815 827457250 887034172 1108792715 1244495704 1555619630 1654914500 1774068344 2217585430 3111239260 3309829000 3889049075 4435170860 5543963575 6222478520 7778098150 8870341720 10422651521 11087927150 15556196300 19445245375 20845303042 22175854300 27719817875 31112392600 38890490750 41690606084 44351708600 52113257605 55439635750 77780981500 83381212168 104226515210 110879271500 155561963000 208453030420 221758543000 260566288025 416906060840 521132576050 1042265152100 1302831440125 2084530304200 2605662880250 5211325760500 10422651521000