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110023100010 = 23351793536449
BaseRepresentation
bin110011001110111100…
…0110100011001101010
3101111222200212120122000
41212131320310121222
53300311403200020
6122313252511430
710643321630265
oct1463570643152
9344880776560
10110023100010
114272a19852a
12193a661b576
13a4b5227355
14547a2b7cdc
152cde15c090
hex199de3466a

110023100010 has 128 divisors (see below), whose sum is σ = 295915680000. Its totient is φ = 29088423936.

The previous prime is 110023100009. The next prime is 110023100021. The reversal of 110023100010 is 10001320011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110023099965 and 110023100001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17057266 + ... + 17063714.

It is an arithmetic number, because the mean of its divisors is an integer number (2311841250).

Almost surely, 2110023100010 is an apocalyptic number.

110023100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110023100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147957840000).

110023100010 is an abundant number, since it is smaller than the sum of its proper divisors (185892579990).

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

110023100010 is a wasteful number, since it uses less digits than its factorization.

110023100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110023100010 its reverse (10001320011), we get a palindrome (120024420021).

The spelling of 110023100010 in words is "one hundred ten billion, twenty-three million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 353 358 537 706 895 1059 1074 1611 1765 1790 2118 2685 3177 3222 3530 4833 5295 5370 6354 6449 8055 9531 9666 10590 12898 15885 16110 19062 19347 24165 31770 32245 38694 47655 48330 58041 63187 64490 95310 96735 116082 126374 174123 189561 193470 290205 315935 348246 379122 568683 580410 631870 870615 947805 1137366 1154371 1706049 1741230 1895610 2276497 2308742 2843415 3412098 3463113 4552994 5686830 5771855 6829491 6926226 8530245 10389339 11382485 11543710 13658982 17060490 17315565 20488473 20778678 22764970 31168017 34147455 34631130 40976946 51946695 61465419 62336034 68294910 102442365 103893390 122930838 155840085 204884730 307327095 311680170 407492963 614654190 814985926 1222478889 2037464815 2444957778 3667436667 4074929630 6112394445 7334873334 11002310001 12224788890 18337183335 22004620002 36674366670 55011550005 110023100010