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11211330130 = 25711131278819
BaseRepresentation
bin10100111000011111…
…10101001001010010
31001221100002120200021
422130033311021102
5140430100031010
65052253414054
7544553506450
oct123417651122
931840076607
1011211330130
11483355a2a0
12220a79a32a
13109894aa70
14784da19d0
154593d58da
hex29c3f5252

11211330130 has 128 divisors (see below), whose sum is σ = 27311800320. Its totient is φ = 3199875840.

The previous prime is 11211330113. The next prime is 11211330167. The reversal of 11211330130 is 3103311211.

11211330130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266861 + ... + 1275679.

It is an arithmetic number, because the mean of its divisors is an integer number (213373440).

Almost surely, 211211330130 is an apocalyptic number.

11211330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11211330130 is an abundant number, since it is smaller than the sum of its proper divisors (16100470190).

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

11211330130 is a wasteful number, since it uses less digits than its factorization.

11211330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11211330130 its reverse (3103311211), we get a palindrome (14314641341).

The spelling of 11211330130 in words is "eleven billion, two hundred eleven million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 127 130 143 154 182 254 286 385 455 635 715 770 889 910 1001 1270 1397 1430 1651 1778 2002 2794 3302 4445 5005 6985 8255 8819 8890 9779 10010 11557 13970 16510 17638 18161 19558 23114 36322 44095 48895 57785 61733 88190 90805 97009 97790 114647 115570 123466 127127 181610 194018 229294 254254 308665 485045 573235 617330 635635 679063 802529 970090 1120013 1146470 1261117 1271270 1358126 1605058 2240026 2522234 3395315 4012645 5600065 6305585 6790630 7840091 8025290 8827819 11200130 12320143 12611170 14560169 15680182 17655638 24640286 29120338 39200455 44139095 61600715 72800845 78400910 86241001 88278190 101921183 123201430 145601690 160161859 172482002 203842366 320323718 431205005 509605915 800809295 862410010 1019211830 1121133013 1601618590 2242266026 5605665065 11211330130