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1130021010 = 2335191811217
BaseRepresentation
bin100001101011010…
…1100000010010010
32220202100000102000
41003112230002102
54303241133020
6304044134430
740001006616
oct10326540222
92822300360
101130021010
1152a95a568
12276537416
131501623b1
14aa115346
1569316090
hex435ac092

1130021010 has 128 divisors (see below), whose sum is σ = 3192134400. Its totient is φ = 283668480.

The previous prime is 1130020999. The next prime is 1130021017. The reversal of 1130021010 is 101200311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1130020983 and 1130021001.

It is not an unprimeable number, because it can be changed into a prime (1130021017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927922 + ... + 929138.

It is an arithmetic number, because the mean of its divisors is an integer number (24938550).

Almost surely, 21130021010 is an apocalyptic number.

1130021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596067200).

1130021010 is an abundant number, since it is smaller than the sum of its proper divisors (2062113390).

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

1130021010 is a wasteful number, since it uses less digits than its factorization.

1130021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1130021010 is about 33615.7851313933. The cubic root of 1130021010 is about 1041.5868926073.

Adding to 1130021010 its reverse (101200311), we get a palindrome (1231221321).

The spelling of 1130021010 in words is "one billion, one hundred thirty million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 181 190 270 285 342 362 513 543 570 855 905 1026 1086 1217 1629 1710 1810 2434 2565 2715 3258 3439 3651 4887 5130 5430 6085 6878 7302 8145 9774 10317 10953 12170 16290 17195 18255 20634 21906 23123 24435 30951 32859 34390 36510 46246 48870 51585 54765 61902 65718 69369 92853 103170 109530 115615 138738 154755 164295 185706 208107 220277 231230 309510 328590 346845 416214 440554 464265 624321 660831 693690 928530 1040535 1101385 1248642 1321662 1982493 2081070 2202770 3121605 3304155 3964986 4185263 5947479 6243210 6608310 8370526 9912465 11894958 12555789 19824930 20926315 25111578 29737395 37667367 41852630 59474790 62778945 75334734 113002101 125557890 188336835 226004202 376673670 565010505 1130021010