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11132124003 = 33711133471187
BaseRepresentation
bin10100101111000011…
…01011101101100011
31001201211001111022000
422113201223231203
5140244310432003
65040344015043
7542602331010
oct122741535543
931654044260
1011132124003
1147a2880590
1221a8161483
131085407b30
14778664707
1545248c1a3
hex29786bb63

11132124003 has 128 divisors (see below), whose sum is σ = 22225674240. Its totient is φ = 5318213760.

The previous prime is 11132123987. The next prime is 11132124011. The reversal of 11132124003 is 30042123111.

It is not a de Polignac number, because 11132124003 - 24 = 11132123987 is a prime.

It is a super-3 number, since 3×111321240033 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11132124013) 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 127 ways as a sum of consecutive naturals, for example, 9377776 + ... + 9378962.

It is an arithmetic number, because the mean of its divisors is an integer number (173638080).

Almost surely, 211132124003 is an apocalyptic number.

11132124003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11132124003 is a deficient number, since it is larger than the sum of its proper divisors (11093550237).

11132124003 is a wasteful number, since it uses less digits than its factorization.

11132124003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132124003 its reverse (30042123111), we get a palindrome (41174247114).

The spelling of 11132124003 in words is "eleven billion, one hundred thirty-two million, one hundred twenty-four thousand, three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 347 351 429 693 819 1001 1041 1187 1287 2079 2429 2457 3003 3123 3561 3817 3861 4511 7287 8309 9009 9369 10683 11451 13057 13533 15431 21861 24927 26719 27027 31577 32049 34353 39171 40599 46293 49621 65583 74781 80157 91399 94731 103059 108017 117513 121797 138879 148863 169741 224343 240471 274197 284193 324051 347347 352539 411889 416637 446589 509223 721413 822591 852579 972153 1042041 1188187 1235667 1339767 1527669 2467773 2883223 2916459 3126123 3564561 3707001 4530779 4583007 5354557 8649669 9378369 10693683 11121003 13592337 16063671 25949007 31715453 32081049 37481899 40777011 48191013 58900127 77847021 95146359 112445697 122331033 144573039 176700381 285439077 337337091 412300889 530101143 856317231 1012011273 1236902667 1590303429 3710708001 11132124003