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1131223313130 = 235234360163439
BaseRepresentation
bin10000011101100010001…
…010011110101011101010
311000010212220020102020120
4100131202022132223222
5122013221132010010
62223402105304110
7144504524336661
oct20354212365352
94003786212216
101131223313130
113a6827084309
121632a4495036
138289b737ca1
143ca7418ddd8
151e65bbbce70
hex1076229eaea

1131223313130 has 128 divisors (see below), whose sum is σ = 2903728988160. Its totient is φ = 281360217600.

The previous prime is 1131223313117. The next prime is 1131223313239. The reversal of 1131223313130 is 313133221311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131223313130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17799951 + ... + 17863389.

It is an arithmetic number, because the mean of its divisors is an integer number (22685382720).

Almost surely, 21131223313130 is an apocalyptic number.

1131223313130 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 1131223313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451864494080).

1131223313130 is an abundant number, since it is smaller than the sum of its proper divisors (1772505675030).

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

1131223313130 is a wasteful number, since it uses less digits than its factorization.

1131223313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64116.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1131223313130 its reverse (313133221311), we get a palindrome (1444356534441).

The spelling of 1131223313130 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 430 601 645 690 989 1202 1290 1803 1978 2967 3005 3606 4945 5934 6010 9015 9890 13823 14835 18030 25843 27646 29670 41469 51686 63439 69115 77529 82938 126878 129215 138230 155058 190317 207345 258430 317195 380634 387645 414690 594389 634390 775290 951585 1188778 1459097 1783167 1903170 2727877 2918194 2971945 3566334 4377291 5455754 5943890 7295485 8183631 8754582 8915835 13639385 14590970 16367262 17831670 21886455 27278770 38126839 40918155 43772910 62741171 76253678 81836310 114380517 125482342 188223513 190634195 228761034 313705855 376447026 381268390 571902585 627411710 876917297 941117565 1143805170 1639454077 1753834594 1882235130 2630751891 3278908154 4384586485 4918362231 5261503782 8197270385 8769172970 9836724462 13153759455 16394540770 24591811155 26307518910 37707443771 49183622310 75414887542 113122331313 188537218855 226244662626 377074437710 565611656565 1131223313130