Search a number
-
+
1112002001331 = 31323183118513
BaseRepresentation
bin10000001011101000011…
…110111111100110110011
310221022021022221121101120
4100023220132333212303
5121204340003020311
62210502514033323
7143224306025034
oct20135036774663
93838238847346
101112002001331
1139966315a261
1215b61b278843
1380b27490a00
143bb6d486a8b
151ddd44b9706
hex102e87bf9b3

1112002001331 has 48 divisors (see below), whose sum is σ = 1657678252032. Its totient is φ = 662076979200.

The previous prime is 1112002001329. The next prime is 1112002001333. The reversal of 1112002001331 is 1331002002111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112002001329) and next prime (1112002001333).

It is not a de Polignac number, because 1112002001331 - 21 = 1112002001329 is a prime.

It is a super-2 number, since 2×11120020013312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1112002001331.

It is not an unprimeable number, because it can be changed into a prime (1112002001333) 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 47 ways as a sum of consecutive naturals, for example, 130619731 + ... + 130628243.

It is an arithmetic number, because the mean of its divisors is an integer number (34534963584).

Almost surely, 21112002001331 is an apocalyptic number.

1112002001331 is a deficient number, since it is larger than the sum of its proper divisors (545676250701).

1112002001331 is a wasteful number, since it uses less digits than its factorization.

1112002001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16884 (or 16871 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1112002001331 its reverse (1331002002111), we get a palindrome (2443004003442).

The spelling of 1112002001331 in words is "one trillion, one hundred twelve billion, two million, one thousand, three hundred thirty-one".

Divisors: 1 3 13 31 39 93 169 403 507 1209 5239 8311 8513 15717 24933 25539 108043 110669 257641 263903 324129 332007 772923 791709 1404559 1438697 3349333 3430739 4213677 4316091 10047999 10292217 43541329 44599607 70751543 130623987 133798821 212254629 919770059 2193297833 2759310177 6579893499 11957010767 28512871829 35871032301 85538615487 370667333777 1112002001331