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10168241260200 = 2335289190416503
BaseRepresentation
bin1001001111110111101001…
…1010001000011010101000
31100000002000012211210111120
42103331322122020122220
52313044024230311300
633343120415055240
72066426332432212
oct223757232103250
940002005753446
1010168241260200
113270366118a21
12118280b511520
13589b2690a86a
1427220738d5b2
151297751853a0
hex93f7a6886a8

10168241260200 has 96 divisors (see below), whose sum is σ = 31875722769600. Its totient is φ = 2681064348160.

The previous prime is 10168241260187. The next prime is 10168241260211. The reversal of 10168241260200 is 206214286101.

It is a happy number.

10168241260200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95154852 + ... + 95261651.

It is an arithmetic number, because the mean of its divisors is an integer number (332038778850).

Almost surely, 210168241260200 is an apocalyptic number.

10168241260200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10168241260200 is an abundant number, since it is smaller than the sum of its proper divisors (21707481509400).

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

10168241260200 is a wasteful number, since it uses less digits than its factorization.

10168241260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190416611 (or 190416602 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 10168241260200 in words is "ten trillion, one hundred sixty-eight billion, two hundred forty-one million, two hundred sixty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 190416503 380833006 571249509 761666012 952082515 1142499018 1523332024 1904165030 2284998036 2856247545 3808330060 4569996072 4760412575 5712495090 7616660120 9520825150 11424990180 14281237725 16947068767 19041650300 22849980360 28562475450 33894137534 38083300600 50841206301 57124950900 67788275068 84735343835 101682412602 114249901800 135576550136 169470687670 203364825204 254206031505 338941375340 406729650408 423676719175 508412063010 677882750680 847353438350 1016824126020 1271030157525 1694706876700 2033648252040 2542060315050 3389413753400 5084120630100 10168241260200