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11133213130 = 251317109113409
BaseRepresentation
bin10100101111001011…
…10101100111001010
31001201220002211022001
422113211311213022
5140300100310010
65040423221214
7542614515214
oct122745654712
931656084261
1011133213130
1147a3454896
1221a85a780a
1310856c97a0
147788695b4
15452604c3a
hex2979759ca

11133213130 has 128 divisors (see below), whose sum is σ = 23321390400. Its totient is φ = 3790209024.

The previous prime is 11133213101. The next prime is 11133213139. The reversal of 11133213130 is 3131233111.

It can be written as a sum of positive squares in 32 ways, for example, as 110103049 + 11023110081 = 10493^2 + 104991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11133213098 and 11133213107.

It is not an unprimeable number, because it can be changed into a prime (11133213139) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27220366 + ... + 27220774.

Almost surely, 211133213130 is an apocalyptic number.

11133213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11133213130 is an abundant number, since it is smaller than the sum of its proper divisors (12188177270).

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

11133213130 is a wasteful number, since it uses less digits than its factorization.

11133213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11133213130 its reverse (3131233111), we get a palindrome (14264446241).

The spelling of 11133213130 in words is "eleven billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 109 113 130 170 218 221 226 409 442 545 565 818 1090 1105 1130 1417 1469 1853 1921 2045 2210 2834 2938 3706 3842 4090 5317 6953 7085 7345 9265 9605 10634 12317 13906 14170 14690 18530 19210 24089 24634 24973 26585 34765 44581 46217 48178 49946 53170 61585 69530 89162 90389 92434 120445 123170 124865 160121 180778 209389 222905 231085 240890 249730 320242 418778 445810 451945 462170 579553 600821 757877 785689 800605 903890 1046945 1159106 1201642 1515754 1571378 1601210 2093890 2722057 2897765 3004105 3789385 3928445 5037653 5444114 5795530 6008210 7578770 7856890 9852401 10075306 10213957 13610285 19704802 20427914 25188265 27220570 49262005 50376530 51069785 65489489 85640101 98524010 102139570 130978978 171280202 327447445 428200505 654894890 856401010 1113321313 2226642626 5566606565 11133213130