Search a number
-
+
10002010220100 = 22325214717554959
BaseRepresentation
bin1001000110001100011001…
…0001000010011001000100
31022102011221021211000101200
42101203012101002121010
52302333104104020400
633134505435022500
72051423065053303
oct221430621023104
938364837730350
1010002010220100
113206913021148
121156558b9aa30
13577254770682
142681580c843a
15125296673b00
hex918c6442644

10002010220100 has 108 divisors (see below), whose sum is σ = 31372062059520. Its totient is φ = 2665389182400.

The previous prime is 10002010220099. The next prime is 10002010220117. The reversal of 10002010220100 is 102201020001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2453580 + ... + 5101379.

Almost surely, 210002010220100 is an apocalyptic number.

10002010220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002010220100 is an abundant number, since it is smaller than the sum of its proper divisors (21370051839420).

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

10002010220100 is a wasteful number, since it uses less digits than its factorization.

10002010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556450 (or 7556440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002010220100 its reverse (102201020001), we get a palindrome (10104211240101).

The spelling of 10002010220100 in words is "ten trillion, two billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1471 2942 4413 5884 7355 8826 13239 14710 17652 22065 26478 29420 36775 44130 52956 66195 73550 88260 110325 132390 147100 220650 264780 330975 441300 661950 1323900 7554959 15109918 22664877 30219836 37774795 45329754 67994631 75549590 90659508 113324385 135989262 151099180 188873975 226648770 271978524 339973155 377747950 453297540 566621925 679946310 755495900 1133243850 1359892620 1699865775 2266487700 3399731550 6799463100 11113344689 22226689378 33340034067 44453378756 55566723445 66680068134 100020102201 111133446890 133360136268 166700170335 200040204402 222266893780 277833617225 333400340670 400080408804 500100511005 555667234450 666800681340 833500851675 1000201022010 1111334468900 1667001703350 2000402044020 2500502555025 3334003406700 5001005110050 10002010220100