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1001012022111 = 31944939112727
BaseRepresentation
bin11101001000100001111…
…01110100101101011111
310112200210020201110211110
432210100331310231133
5112400033034201421
62043505241353103
7132215003540553
oct16442075645537
93480706643743
101001012022111
11356588210102
12142004a98793
1373519b54aaa
1436640a03863
151b08a51ea76
hexe910f74b5f

1001012022111 has 16 divisors (see below), whose sum is σ = 1408058208000. Its totient is φ = 630810044928.

The previous prime is 1001012022103. The next prime is 1001012022133. The reversal of 1001012022111 is 1112202101001.

It is not a de Polignac number, because 1001012022111 - 23 = 1001012022103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012022161) 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 15 ways as a sum of consecutive naturals, for example, 19530771 + ... + 19581956.

It is an arithmetic number, because the mean of its divisors is an integer number (88003638000).

Almost surely, 21001012022111 is an apocalyptic number.

1001012022111 is a deficient number, since it is larger than the sum of its proper divisors (407046185889).

1001012022111 is a wasteful number, since it uses less digits than its factorization.

1001012022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39113198.

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

Adding to 1001012022111 its reverse (1112202101001), we get a palindrome (2113214123112).

It can be divided in two parts, 100101 and 2022111, that added together give a palindrome (2122212).

The spelling of 1001012022111 in words is "one trillion, one billion, twelve million, twenty-two thousand, one hundred eleven".

Divisors: 1 3 19 57 449 1347 8531 25593 39112727 117338181 743141813 2229425439 17561614423 52684843269 333670674037 1001012022111