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1000220100111 = 33733111631731
BaseRepresentation
bin11101000111000011100…
…00111000011000001111
310112121202001120200002000
432203201300320120033
5112341422321200421
62043254512003343
7132156246400221
oct16434160703017
93477661520060
101000220100111
11356211197411
12141a23830553
1373421a6c9ab
14365a777c411
151b040c41226
hexe8e1c3860f

1000220100111 has 32 divisors (see below), whose sum is σ = 1506937136640. Its totient is φ = 655563844800.

The previous prime is 1000220100107. The next prime is 1000220100221. The reversal of 1000220100111 is 1110010220001.

It is a happy number.

It is not a de Polignac number, because 1000220100111 - 22 = 1000220100107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000220100093 and 1000220100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220100311) by changing a digit.

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, 202885 + ... + 1428846.

It is an arithmetic number, because the mean of its divisors is an integer number (47091785520).

Almost surely, 21000220100111 is an apocalyptic number.

1000220100111 is a deficient number, since it is larger than the sum of its proper divisors (506717036529).

1000220100111 is a wasteful number, since it uses less digits than its factorization.

1000220100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632124 (or 1632118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000220100111 its reverse (1110010220001), we get a palindrome (2110230320112).

The spelling of 1000220100111 in words is "one trillion, two hundred twenty million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 27 73 219 311 657 933 1971 2799 8397 22703 68109 204327 612981 1631731 4895193 14685579 44056737 119116363 357349089 507468341 1072047267 1522405023 3216141801 4567215069 13701645207 37045188893 111135566679 333406700037 1000220100111