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11132222133123 = 3371341149973721
BaseRepresentation
bin1010000111111110110000…
…1001010101001110000011
31110102020012200220222112000
42201333230021111032003
52424342242331224443
635402023334435043
72226163561602030
oct241775411251603
943366180828460
1011132222133123
1136021701a55a3
1212b95ba802a83
136299c17a9550
142a6b33c00387
1514489465c8d3
hexa1fec255383

11132222133123 has 128 divisors (see below), whose sum is σ = 20807297280000. Its totient is φ = 5724823910400.

The previous prime is 11132222133119. The next prime is 11132222133133. The reversal of 11132222133123 is 32133122223111.

11132222133123 is a `hidden beast` number, since 1 + 1 + 1 + 322 + 2 + 2 + 1 + 331 + 2 + 3 = 666.

11132222133123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11132222133123 - 22 = 11132222133119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11132222133113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150967903 + ... + 151041623.

It is an arithmetic number, because the mean of its divisors is an integer number (162557010000).

Almost surely, 211132222133123 is an apocalyptic number.

11132222133123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11132222133123 is a deficient number, since it is larger than the sum of its proper divisors (9675075146877).

11132222133123 is a wasteful number, since it uses less digits than its factorization.

11132222133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75290 (or 75284 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11132222133123 its reverse (32133122223111), we get a palindrome (43265344356234).

The spelling of 11132222133123 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 21 27 39 41 63 91 117 123 189 273 287 351 369 533 819 861 1107 1499 1599 2457 2583 3731 4497 4797 7749 10493 11193 13491 14391 19487 31479 33579 40473 58461 61459 73721 94437 100737 136409 175383 184377 221163 283311 409227 430213 516047 526149 553131 663489 798967 958373 1227681 1290639 1548141 1659393 1990467 2396901 2875119 3022561 3683043 3871917 4644423 5592769 6708611 7190703 8625357 9067683 11615751 13933269 16778307 20125833 21157927 21572109 25876071 27203049 39293293 50334921 60377499 63473781 81609147 110507779 117879879 151004763 181132497 190421343 275053051 331523337 353639637 571264029 773554453 825159153 994570011 1060918911 1436601127 2320663359 2475477459 2983710033 4309803381 4530818939 6961990077 7426432377 10056207889 12929410143 13592456817 20885970231 30168623667 31715732573 38788230429 40777370451 58900646207 90505871001 95147197719 122332111353 176701938621 271517613003 285441593157 412304523449 530105815863 856324779471 1236913570347 1590317447589 3710740711041 11132222133123