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11012221000 = 2353111815531
BaseRepresentation
bin10100100000110000…
…10010100001001000
31001102110102210022001
422100120102201020
5140023112033000
65020422040344
7536615222404
oct122030224110
931373383261
1011012221000
1147411256a0
122173b790b4
131066616101
14766772104
15446ba546a
hex290612848

11012221000 has 128 divisors (see below), whose sum is σ = 28271617920. Its totient is φ = 3981600000.

The previous prime is 11012220959. The next prime is 11012221027. The reversal of 11012221000 is 12221011.

It is a super-2 number, since 2×110122210002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988235 + ... + 1993765.

It is an arithmetic number, because the mean of its divisors is an integer number (220872015).

Almost surely, 211012221000 is an apocalyptic number.

11012221000 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 11012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135808960).

11012221000 is an abundant number, since it is smaller than the sum of its proper divisors (17259396920).

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

11012221000 is a wasteful number, since it uses less digits than its factorization.

11012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11012221000 its reverse (12221011), we get a palindrome (11024442011).

The spelling of 11012221000 in words is "eleven billion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 181 200 220 250 275 362 440 500 550 724 905 1000 1100 1375 1448 1810 1991 2200 2750 3620 3982 4525 5500 5531 7240 7964 9050 9955 11000 11062 15928 18100 19910 22124 22625 27655 36200 39820 44248 45250 49775 55310 60841 79640 90500 99550 110620 121682 138275 181000 199100 221240 243364 248875 276550 304205 398200 486728 497750 553100 608410 691375 995500 1001111 1106200 1216820 1382750 1521025 1991000 2002222 2433640 2765500 3042050 4004444 5005555 5531000 6084100 7605125 8008888 10011110 11012221 12168200 15210250 20022220 22024442 25027775 30420500 40044440 44048884 50055550 55061105 60841000 88097768 100111100 110122210 125138875 200222200 220244420 250277750 275305525 440488840 500555500 550611050 1001111000 1101222100 1376527625 2202444200 2753055250 5506110500 11012221000