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10422022000 = 2453132511597
BaseRepresentation
bin10011011010011001…
…10110111101110000
3222220022212120110211
421231030312331300
5132321014201000
64442100033504
7516160503535
oct115514667560
928808776424
1010422022000
114468a61425
12202a392894
13ca126c630
1470c21ad8c
1540ee717ba
hex26d336f70

10422022000 has 160 divisors (see below), whose sum is σ = 27264129984. Its totient is φ = 3830400000.

The previous prime is 10422021917. The next prime is 10422022031. The reversal of 10422022000 is 22022401.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6525202 + ... + 6526798.

Almost surely, 210422022000 is an apocalyptic number.

10422022000 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 10422022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632064992).

10422022000 is an abundant number, since it is smaller than the sum of its proper divisors (16842107984).

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

10422022000 is a wasteful number, since it uses less digits than its factorization.

10422022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 10422022000 its reverse (22022401), we get a palindrome (10444044401).

The spelling of 10422022000 in words is "ten billion, four hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 251 260 325 400 500 502 520 650 1000 1004 1040 1255 1300 1597 1625 2000 2008 2510 2600 3194 3250 3263 4016 5020 5200 6275 6388 6500 6526 7985 10040 12550 12776 13000 13052 15970 16315 20080 20761 25100 25552 26000 26104 31375 31940 32630 39925 41522 50200 52208 62750 63880 65260 79850 81575 83044 100400 103805 125500 127760 130520 159700 163150 166088 199625 207610 251000 261040 319400 326300 332176 399250 400847 407875 415220 502000 519025 638800 652600 798500 801694 815750 830440 1038050 1305200 1597000 1603388 1631500 1660880 2004235 2076100 2595125 3194000 3206776 3263000 4008470 4152200 5190250 5211011 6413552 6526000 8016940 8304400 10021175 10380500 10422022 16033880 20042350 20761000 20844044 26055055 32067760 40084700 41522000 41688088 50105875 52110110 80169400 83376176 100211750 104220220 130275275 160338800 200423500 208440440 260550550 400847000 416880880 521101100 651376375 801694000 1042202200 1302752750 2084404400 2605505500 5211011000 10422022000