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200132310103011 = 341113411932183509
BaseRepresentation
bin101101100000010011101111…
…010000000111001111100011
3222020121110110210102200210000
4231200103233100013033203
5202212431432341244021
61545351303010111043
760104040132532206
oct5540235720071743
9866543423380700
10200132310103011
115884a6aa684020
121a542b9587b483
13878951b935270
14375c653c2b93d
151820d79b1cb26
hexb604ef4073e3

200132310103011 has 160 divisors (see below), whose sum is σ = 361660316149440. Its totient is φ = 108665332531200.

The previous prime is 200132310103003. The next prime is 200132310103043. The reversal of 200132310103011 is 110301013231002.

200132310103011 is a `hidden beast` number, since 20 + 0 + 1 + 32 + 310 + 1 + 0 + 301 + 1 = 666.

200132310103011 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 200132310103011 - 23 = 200132310103003 is a prime.

It is a super-2 number, since 2×2001323101030112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200132310103051) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90564525 + ... + 92748033.

It is an arithmetic number, because the mean of its divisors is an integer number (2260376975934).

Almost surely, 2200132310103011 is an apocalyptic number.

200132310103011 is a deficient number, since it is larger than the sum of its proper divisors (161528006046429).

200132310103011 is a wasteful number, since it uses less digits than its factorization.

200132310103011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183779 (or 2183770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200132310103011 its reverse (110301013231002), we get a palindrome (310433323334013).

The spelling of 200132310103011 in words is "two hundred trillion, one hundred thirty-two billion, three hundred ten million, one hundred three thousand, eleven".

Divisors: 1 3 9 11 13 27 33 39 41 81 99 117 123 143 193 297 351 369 429 451 533 579 891 1053 1107 1287 1353 1599 1737 2123 2509 3321 3861 4059 4797 5211 5863 6369 7527 7913 11583 12177 14391 15633 17589 19107 22581 23739 27599 36531 43173 52767 57321 67743 71217 82797 87043 102869 158301 171963 203229 213651 248391 261129 308607 474903 640953 745173 783387 925821 1131559 2183509 2235519 2350161 2777463 3394677 6550527 7050483 8332389 10184031 19651581 24018599 28385617 30552093 58954743 72055797 85156851 89523869 91656279 176864229 216167391 255470553 268571607 312241787 421417237 648502173 766411659 805714821 936725361 984762559 1163810297 1264251711 1945506519 2299234977 2417144463 2810176083 2954287677 3491430891 3792755133 4635589607 5478424081 7251433389 8430528249 8862863031 10474292673 11378265399 12801913267 13906768821 16435272243 17278106717 25291584747 26588589093 31422878019 34134796197 38405739801 41720306463 49305816729 51834320151 60262664891 79765767279 94268634057 115217219403 125160919389 147917450187 155502960453 180787994673 190059173887 224615387321 345651658209 375482758167 443752350561 466508881359 542363984019 570177521661 673846161963 1036954974627 1399526644077 1627091952057 1710532564983 2021538485889 2470769260531 4881275856171 5131597694949 6064615457667 7412307781593 15394793084847 18193846373001 22236923344779 66710770034337 200132310103011