Search a number
-
+
11313113130 = 2335114199091
BaseRepresentation
bin10101000100101000…
…00110100000101010
31002012102121200201000
422202110012200222
5141132124110010
65110331135430
7550230606054
oct124224064052
932172550630
1011313113130
114885a59380
1222388a4576
1310b3a66ca7
147946d88d4
154632dd7c0
hex2a250682a

11313113130 has 128 divisors (see below), whose sum is σ = 32993049600. Its totient is φ = 2735726400.

The previous prime is 11313113113. The next prime is 11313113167. The reversal of 11313113130 is 3131131311.

11313113130 is a `hidden beast` number, since 11 + 31 + 311 + 313 + 0 = 666.

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

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, 1239885 + ... + 1248975.

It is an arithmetic number, because the mean of its divisors is an integer number (257758200).

Almost surely, 211313113130 is an apocalyptic number.

11313113130 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 11313113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496524800).

11313113130 is an abundant number, since it is smaller than the sum of its proper divisors (21679936470).

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

11313113130 is a wasteful number, since it uses less digits than its factorization.

11313113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11313113130 its reverse (3131131311), we get a palindrome (14444244441).

It can be divided in two parts, 1 and 1313113130, that added together give a palindrome (1313113131).

The spelling of 11313113130 in words is "eleven billion, three hundred thirteen million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 419 495 594 838 990 1257 1485 2095 2514 2970 3771 4190 4609 6285 7542 9091 9218 11313 12570 13827 18182 18855 22626 23045 27273 27654 37710 41481 45455 46090 54546 56565 69135 81819 82962 90910 100001 113130 124443 136365 138270 163638 200002 207405 245457 248886 272730 300003 409095 414810 490914 500005 600006 622215 818190 900009 1000010 1227285 1244430 1500015 1800018 2454570 2700027 3000030 3809129 4500045 5400054 7618258 9000090 11427387 13500135 19045645 22854774 27000270 34282161 38091290 41900419 57136935 68564322 83800838 102846483 114273870 125701257 171410805 205692966 209502095 251402514 342821610 377103771 419004190 514232415 628506285 754207542 1028464830 1131311313 1257012570 1885518855 2262622626 3771037710 5656556565 11313113130