Search a number
-
+
1071054065052 = 223483286113921
BaseRepresentation
bin11111001010111111100…
…11000000110110011100
310210101120121011220210000
433211133303000312130
5120022004320040202
62140011353414300
7140244501224436
oct17453763006634
93711517156700
101071054065052
11383260108704
121536b1a0a390
1379cccbccb0a
1439ba7041656
151ccd968791c
hexf95fcc0d9c

1071054065052 has 120 divisors (see below), whose sum is σ = 2834875269072. Its totient is φ = 352567987200.

The previous prime is 1071054065027. The next prime is 1071054065069. The reversal of 1071054065052 is 2505604501701.

1071054065052 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 540 + 65 + 0 + 52 = 666.

It is a super-2 number, since 2×10710540650522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1071054064998 and 1071054065016.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76931052 + ... + 76944972.

Almost surely, 21071054065052 is an apocalyptic number.

1071054065052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071054065052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417437634536).

1071054065052 is an abundant number, since it is smaller than the sum of its proper divisors (1763821204020).

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

1071054065052 is a wasteful number, since it uses less digits than its factorization.

1071054065052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16881 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 1071054065052 its reverse (2505604501701), we get a palindrome (3576658566753).

The spelling of 1071054065052 in words is "one trillion, seventy-one billion, fifty-four million, sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2861 2988 4482 5722 6723 8583 8964 11444 13446 13921 17166 25749 26892 27842 34332 41763 51498 55684 77247 83526 102996 125289 154494 167052 231741 237463 250578 308988 375867 463482 474926 501156 712389 751734 926964 949852 1127601 1155443 1424778 1503468 2137167 2255202 2310886 2849556 3466329 4274334 4510404 4621772 6411501 6932658 8548668 10398987 12823002 13865316 19234503 20797974 25646004 31196961 38469006 39827981 41595948 62393922 76938012 79655962 93590883 119483943 124787844 159311924 187181766 238967886 358451829 374363532 477935772 716903658 1075355487 1433807316 2150710974 3226066461 3305722423 4301421948 6452132922 6611444846 9917167269 12904265844 13222889692 19834334538 29751501807 39668669076 59503003614 89254505421 119006007228 178509010842 267763516263 357018021684 535527032526 1071054065052