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1050111114 = 2313171941681
BaseRepresentation
bin111110100101110…
…110110010001010
32201011222011122020
4332211312302022
54122312023424
6252111305310
735010540303
oct7645666212
92634864566
101050111114
11499840028
1225381b236
13139734030
149d6737aa
15622ce079
hex3e976c8a

1050111114 has 64 divisors (see below), whose sum is σ = 2520927360. Its totient is φ = 288092160.

The previous prime is 1050111091. The next prime is 1050111137. The reversal of 1050111114 is 4111110501.

It is an interprime number because it is at equal distance from previous prime (1050111091) and next prime (1050111137).

It is a super-2 number, since 2×10501111142 = 2205466703492641992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050111093 and 1050111102.

It is an unprimeable number.

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, 4354 + ... + 46034.

It is an arithmetic number, because the mean of its divisors is an integer number (39389490).

Almost surely, 21050111114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050111114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260463680).

1050111114 is an abundant number, since it is smaller than the sum of its proper divisors (1470816246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1050111114 is a wasteful number, since it uses less digits than its factorization.

1050111114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735.

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 1050111114 is about 32405.4179729255. The cubic root of 1050111114 is about 1016.4322082057.

Adding to 1050111114 its reverse (4111110501), we get a palindrome (5161221615).

The spelling of 1050111114 in words is "one billion, fifty million, one hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 4199 8398 12597 25194 41681 83362 125043 250086 541853 708577 791939 1083706 1417154 1583878 1625559 2125731 2375817 3251118 4251462 4751634 9211501 10295207 13462963 18423002 20590414 26925926 27634503 30885621 40388889 55269006 61771242 80777778 175018519 350037038 525055557 1050111114