Search a number
-
+
10122221121100 = 225211101191477011
BaseRepresentation
bin1001001101001100001101…
…1001001110111001001100
31022211200012222211111200021
42103103003121032321030
52311320302101333400
633310030103511524
72063210034624364
oct223230331167114
938750188744607
1010122221121100
11325289aa34310
1211759074585a4
135856a155aa1a
1426dcbd44d9a4
1512847edd871a
hex934c364ee4c

10122221121100 has 144 divisors (see below), whose sum is σ = 24326055032832. Its totient is φ = 3625276000000.

The previous prime is 10122221121097. The next prime is 10122221121167. The reversal of 10122221121100 is 112112222101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20981595 + ... + 21458605.

It is an arithmetic number, because the mean of its divisors is an integer number (168930937728).

Almost surely, 210122221121100 is an apocalyptic number.

10122221121100 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 10122221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163027516416).

10122221121100 is an abundant number, since it is smaller than the sum of its proper divisors (14203833911732).

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

10122221121100 is a wasteful number, since it uses less digits than its factorization.

10122221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477328 (or 477321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122221121100 its reverse (112112222101), we get a palindrome (10234333343201).

The spelling of 10122221121100 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 191 202 220 275 382 404 505 550 764 955 1010 1100 1111 1910 2020 2101 2222 2525 3820 4202 4444 4775 5050 5555 8404 9550 10100 10505 11110 19100 19291 21010 22220 27775 38582 42020 52525 55550 77164 96455 105050 111100 192910 210100 212201 385820 424402 477011 482275 848804 954022 964550 1061005 1908044 1929100 2122010 2385055 4244020 4770110 5247121 5305025 9540220 10494242 10610050 11925275 20988484 21220100 23850550 26235605 47701100 48178111 52471210 91109101 96356222 104942420 131178025 182218202 192712444 240890555 262356050 364436404 455545505 481781110 524712100 529959221 911091010 963562220 1002200111 1059918442 1204452775 1822182020 2004400222 2119836884 2277727525 2408905550 2649796105 4008800444 4555455050 4817811100 5011000555 5299592210 9110910100 9202019201 10022001110 10599184420 13248980525 18404038402 20044002220 25055002775 26497961050 36808076804 46010096005 50110005550 52995922100 92020192010 100220011100 101222211211 184040384020 202444422422 230050480025 404888844844 460100960050 506111056055 920201920100 1012222112110 2024444224220 2530555280275 5061110560550 10122221121100