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11132535141 = 32713423269
BaseRepresentation
bin10100101111000110…
…10000000101100101
31001201211211101021100
422113203100011211
5140244412111031
65040400510313
7542605662450
oct122743200545
931654741240
1011132535141
1147a3031472
1221a831b399
131085520000
14778730497
1545251dde6
hex2978d0165

11132535141 has 120 divisors (see below), whose sum is σ = 20851758720. Its totient is φ = 5595917184.

The previous prime is 11132535137. The next prime is 11132535151. The reversal of 11132535141 is 14153523111.

11132535141 is a `hidden beast` number, since 1 + 113 + 2 + 535 + 14 + 1 = 666.

It is not a de Polignac number, because 11132535141 - 22 = 11132535137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132535101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41384755 + ... + 41385023.

It is an arithmetic number, because the mean of its divisors is an integer number (173764656).

Almost surely, 211132535141 is an apocalyptic number.

It is an amenable number.

11132535141 is a deficient number, since it is larger than the sum of its proper divisors (9719223579).

11132535141 is an equidigital number, since it uses as much as digits as its factorization.

11132535141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 315 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The spelling of 11132535141 in words is "eleven billion, one hundred thirty-two million, five hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 169 207 269 273 299 483 507 807 819 897 1183 1449 1521 1883 2093 2197 2421 2691 3497 3549 3887 5649 6187 6279 6591 10491 10647 11661 15379 16947 18561 18837 19773 24479 27209 28561 31473 34983 43309 45461 46137 50531 55683 73437 80431 81627 85683 129927 136383 138411 151593 199927 220311 241293 244881 257049 318227 353717 389781 409149 454779 563017 590993 599781 656903 723879 954681 1045603 1061151 1689051 1772979 1799343 1970709 2864043 3136809 3183453 4136951 4598321 5067153 5318937 5912127 7319221 7682909 9410427 12410853 13592839 13794963 21957663 23048727 37232559 40778517 41384889 53780363 65872989 69146181 95149873 122335551 161341089 176706907 285449619 484023267 530120721 856348857 1236948349 1590362163 3710845047 11132535141