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1000012221100 = 2252172101342599
BaseRepresentation
bin11101000110101010101…
…11111000101010101100
310112121012120102022200101
432203111113320222230
5112341011112033400
62043222124240444
7132151143426034
oct16432527705254
93477176368611
101000012221100
11356114912882
121419860a0124
13733ba987369
1436587d088c4
151b02c87c56a
hexe8d55f8aac

1000012221100 has 108 divisors (see below), whose sum is σ = 2328014278800. Its totient is φ = 372746624000.

The previous prime is 1000012221053. The next prime is 1000012221107. The reversal of 1000012221100 is 11222100001.

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

It is not an unprimeable number, because it can be changed into a prime (1000012221107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2747601 + ... + 3090199.

Almost surely, 21000012221100 is an apocalyptic number.

1000012221100 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 1000012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164007139400).

1000012221100 is an abundant number, since it is smaller than the sum of its proper divisors (1328002057700).

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

1000012221100 is a wasteful number, since it uses less digits than its factorization.

1000012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342748 (or 342724 counting only the distinct ones).

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

Adding to 1000012221100 its reverse (11222100001), we get a palindrome (1011234321101).

The spelling of 1000012221100 in words is "one trillion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 289 340 404 425 505 578 850 1010 1156 1445 1700 1717 2020 2525 2890 3434 5050 5780 6868 7225 8585 10100 14450 17170 28900 29189 34340 42925 58378 85850 116756 145945 171700 291890 342599 583780 685198 729725 1370396 1459450 1712995 2918900 3425990 5824183 6851980 8564975 11648366 17129950 23296732 29120915 34259900 34602499 58241830 69204998 99011111 116483660 138409996 145604575 173012495 198022222 291209150 346024990 396044444 495055555 582418300 588242483 692049980 865062475 990111110 1176484966 1730124950 1980222220 2352969932 2475277775 2941212415 3460249900 4950555550 5882424830 9901111100 10000122211 11764849660 14706062075 20000244422 29412124150 40000488844 50000611055 58824248300 100001222110 200002444220 250003055275 500006110550 1000012221100