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1121114221001 = 172931181405287
BaseRepresentation
bin10000010100000111100…
…111010110100111001001
310222011210101012022211222
4100110013213112213021
5121332020220033001
62215011024331425
7143666153434115
oct20240747264711
93864711168758
101121114221001
113a2509828815
12161342a73b75
138194a272778
143c395750745
151e26946161b
hex105079d69c9

1121114221001 has 32 divisors (see below), whose sum is σ = 1274614548480. Its totient is φ = 980467891200.

The previous prime is 1121114220997. The next prime is 1121114221037. The reversal of 1121114221001 is 1001224111211.

It is a cyclic number.

It is not a de Polignac number, because 1121114221001 - 22 = 1121114220997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121114221091) 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, 2563580 + ... + 2968866.

It is an arithmetic number, because the mean of its divisors is an integer number (39831704640).

Almost surely, 21121114221001 is an apocalyptic number.

It is an amenable number.

1121114221001 is a deficient number, since it is larger than the sum of its proper divisors (153500327479).

1121114221001 is a wasteful number, since it uses less digits than its factorization.

1121114221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405545.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1121114221001 its reverse (1001224111211), we get a palindrome (2122338332212).

The spelling of 1121114221001 in words is "one trillion, one hundred twenty-one billion, one hundred fourteen million, two hundred twenty-one thousand, one".

Divisors: 1 17 29 31 181 493 527 899 3077 5249 5611 15283 89233 95387 162719 405287 2766223 6889879 11753323 12563897 73356947 199806491 213586249 364353013 1247068099 2127351463 2274065357 6194001221 36164974871 38659111069 65947895353 1121114221001