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1000112011221 = 310126385314713
BaseRepresentation
bin11101000110110110101…
…00100011011111010101
310112121110112012011222210
432203123110203133111
5112341212133324341
62043240051144033
7132153464555241
oct16433324433725
93477415164883
101000112011221
11356166180654
121419b35a5019
137340555647b
1436597283421
151b0364dec16
hexe8db5237d5

1000112011221 has 32 divisors (see below), whose sum is σ = 1353482710272. Its totient is φ = 656814297600.

The previous prime is 1000112011207. The next prime is 1000112011247. The reversal of 1000112011221 is 1221102110001.

It is not a de Polignac number, because 1000112011221 - 25 = 1000112011189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000112011197 and 1000112011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67967361 + ... + 67982073.

It is an arithmetic number, because the mean of its divisors is an integer number (42296334696).

Almost surely, 21000112011221 is an apocalyptic number.

It is an amenable number.

1000112011221 is a deficient number, since it is larger than the sum of its proper divisors (353370699051).

1000112011221 is a wasteful number, since it uses less digits than its factorization.

1000112011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000112011221 its reverse (1221102110001), we get a palindrome (2221214121222).

The spelling of 1000112011221 in words is "one trillion, one hundred twelve million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 101 263 303 789 853 2559 14713 26563 44139 79689 86153 224339 258459 673017 1486013 3869519 4458039 11608557 12550189 22658239 37650567 67974717 390821419 1172464257 1267569089 3300699707 3802707267 9902099121 333370670407 1000112011221