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10020222201000 = 2335311303643097
BaseRepresentation
bin1001000111010000001111…
…0010001110110010101000
31022110220221111212111112210
42101310003302032302220
52303132403340413000
633151120533005120
72052636306252444
oct221640362166250
938426844774483
1010020222201000
113213609229a30
121159ba01837a0
13578b9789162b
14268da4b35824
151259b0451350
hex91d03c8eca8

10020222201000 has 128 divisors (see below), whose sum is σ = 34105192767360. Its totient is φ = 2429144768000.

The previous prime is 10020222200971. The next prime is 10020222201049. The reversal of 10020222201000 is 10222202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 151788549 + ... + 151854548.

It is an arithmetic number, because the mean of its divisors is an integer number (266446818495).

Almost surely, 210020222201000 is an apocalyptic number.

10020222201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020222201000 is an abundant number, since it is smaller than the sum of its proper divisors (24084970566360).

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

10020222201000 is a wasteful number, since it uses less digits than its factorization.

10020222201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303643132 (or 303643118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020222201000 its reverse (10222202001), we get a palindrome (10030444403001).

The spelling of 10020222201000 in words is "ten trillion, twenty billion, two hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 303643097 607286194 910929291 1214572388 1518215485 1821858582 2429144776 3036430970 3340074067 3643717164 4554646455 6072861940 6680148134 7287434328 7591077425 9109292910 10020222201 12145723880 13360296268 15182154850 16700370335 18218585820 20040444402 22773232275 26720592536 30364309700 33400740670 36437171640 37955387125 40080888804 45546464550 50101111005 60728619400 66801481340 75910774250 80161777608 83501851675 91092929100 100202222010 113866161375 133602962680 151821548500 167003703350 182185858200 200404444020 227732322750 250505555025 303643097000 334007406700 400808888040 417509258375 455464645500 501011110050 668014813400 835018516750 910929291000 1002022220100 1252527775125 1670037033500 2004044440200 2505055550250 3340074067000 5010111100500 10020222201000