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1000022111001 = 33295337676397
BaseRepresentation
bin11101000110101011111…
…01100111001100011001
310112121020021000210002000
432203111331213030121
5112341021130023001
62043223120231213
7132151323456414
oct16432575471431
93477207023060
101000022111001
1135611a458251
1214198946b509
13733bca3aa84
1436589360b7b
151b02d682a86
hexe8d5f67319

1000022111001 has 64 divisors (see below), whose sum is σ = 1562176627200. Its totient is φ = 631280901888.

The previous prime is 1000022110961. The next prime is 1000022111017. The reversal of 1000022111001 is 1001112200001.

It is a happy number.

It is not a de Polignac number, because 1000022111001 - 26 = 1000022110937 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000022111041) 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 63 ways as a sum of consecutive naturals, for example, 156323535 + ... + 156329931.

It is an arithmetic number, because the mean of its divisors is an integer number (24409009800).

Almost surely, 21000022111001 is an apocalyptic number.

It is an amenable number.

1000022111001 is a deficient number, since it is larger than the sum of its proper divisors (562154516199).

1000022111001 is a wasteful number, since it uses less digits than its factorization.

1000022111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10249 counting only the distinct ones).

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

Adding to 1000022111001 its reverse (1001112200001), we get a palindrome (2001134311002).

The spelling of 1000022111001 in words is "one trillion, twenty-two million, one hundred eleven thousand, one".

Divisors: 1 3 9 27 29 53 87 159 261 477 783 1431 1537 3767 4611 6397 11301 13833 19191 33903 41499 57573 101709 109243 172719 185513 199651 327729 339041 556539 598953 983187 1017123 1669617 1796859 2949561 3051369 5008851 5390577 5789879 9154107 9832189 17369637 24097499 29496567 52108911 72292497 88489701 156326733 216877491 265469103 650632473 698827471 1277167447 2096482413 3831502341 6289447239 11494507023 18868341717 34483521069 37037855963 111113567889 333340703667 1000022111001