Search a number
-
+
1043312022 = 233101233821
BaseRepresentation
bin111110001011111…
…010110110010110
32200201011202001000
4332023322312112
54114041441042
6251305444130
734566002004
oct7613726626
92621152030
101043312022
11495a16845
122514a0646
131381c33bc
149c7c3a74
15618d974c
hex3e2fad96

1043312022 has 64 divisors (see below), whose sum is σ = 2354339520. Its totient is φ = 342432000.

The previous prime is 1043312009. The next prime is 1043312041. The reversal of 1043312022 is 2202133401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1043311986 and 1043312004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270372 + ... + 1271192.

It is an arithmetic number, because the mean of its divisors is an integer number (36786555).

Almost surely, 21043312022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177169760).

1043312022 is an abundant number, since it is smaller than the sum of its proper divisors (1311027498).

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

1043312022 is a wasteful number, since it uses less digits than its factorization.

1043312022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1043312022 is about 32300.3408960339. The cubic root of 1043312022 is about 1014.2337789468.

Adding to 1043312022 its reverse (2202133401), we get a palindrome (3245445423).

The spelling of 1043312022 in words is "one billion, forty-three million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 233 303 466 606 699 821 909 1398 1642 1818 2097 2463 2727 4194 4926 5454 6291 7389 12582 14778 22167 23533 44334 47066 70599 82921 141198 165842 191293 211797 248763 382586 423594 497526 573879 635391 746289 1147758 1270782 1492578 1721637 2238867 3443274 4477734 5164911 10329822 19320593 38641186 57961779 115923558 173885337 347770674 521656011 1043312022