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1002120111111 = 3735916506401
BaseRepresentation
bin11101001010100110000…
…00110110010000000111
310112210122110210020011210
432211103000312100013
5112404320222023421
62044211223502503
7132254320254000
oct16452300662007
93483573706153
101002120111111
11356aa674a839
12142273bb7a33
13736655a8562
1436707c4a1a7
151b102952576
hexe953036407

1002120111111 has 32 divisors (see below), whose sum is σ = 1584614592000. Its totient is φ = 562934265600.

The previous prime is 1002120111067. The next prime is 1002120111119. The reversal of 1002120111111 is 1111110212001.

It is not a de Polignac number, because 1002120111111 - 214 = 1002120094727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8192490 + ... + 8313911.

It is an arithmetic number, because the mean of its divisors is an integer number (49519206000).

Almost surely, 21002120111111 is an apocalyptic number.

1002120111111 is a deficient number, since it is larger than the sum of its proper divisors (582494480889).

1002120111111 is an equidigital number, since it uses as much as digits as its factorization.

1002120111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16506484 (or 16506470 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1002120111111 its reverse (1111110212001), we get a palindrome (2113230323112).

The spelling of 1002120111111 in words is "one trillion, two billion, one hundred twenty million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 21 49 59 147 177 343 413 1029 1239 2891 8673 20237 60711 16506401 49519203 115544807 346634421 808813649 973877659 2426440947 2921632977 5661695543 6817143613 16985086629 20451430839 47720005291 143160015873 334040037037 1002120111111