Search a number
-
+
1020442422314 = 271731138308813
BaseRepresentation
bin11101101100101110001…
…10111010110000101010
310121112221101110002001102
432312113012322300222
5113204331230003224
62100441302321402
7133503341321630
oct16662706726052
93545841402042
101020442422314
11363849165397
12145928129262
13752c5519013
14375653b7350
151b8262754ae
hexed971bac2a

1020442422314 has 32 divisors (see below), whose sum is σ = 1911981044736. Its totient is φ = 398329378560.

The previous prime is 1020442422313. The next prime is 1020442422371. The reversal of 1020442422314 is 4132242440201.

It is a happy number.

It is a super-2 number, since 2×10204424223142 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020442422313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69147029 + ... + 69161784.

It is an arithmetic number, because the mean of its divisors is an integer number (59749407648).

Almost surely, 21020442422314 is an apocalyptic number.

1020442422314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1020442422314 is a deficient number, since it is larger than the sum of its proper divisors (891538622422).

1020442422314 is a wasteful number, since it uses less digits than its factorization.

1020442422314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138308870.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1020442422314 its reverse (4132242440201), we get a palindrome (5152684862515).

The spelling of 1020442422314 in words is "one trillion, twenty billion, four hundred forty-two million, four hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 7 14 17 31 34 62 119 217 238 434 527 1054 3689 7378 138308813 276617626 968161691 1936323382 2351249821 4287573203 4702499642 8575146406 16458748747 30013012421 32917497494 60026024842 72888744451 145777488902 510221211157 1020442422314