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232123012200100 = 225271754413358483
BaseRepresentation
bin110100110001110101011001…
…101011111011011010100100
31010102212202001211022220020201
4310301311121223323122210
5220411100412110400400
62141403501212040244
766615222426662020
oct6461653153733244
91112782054286221
10232123012200100
1167a638a8a5287a
122204abb3163084
139c6a14c213178
144146b56c67380
151bc80bb4a006a
hexd31d59afb6a4

232123012200100 has 144 divisors (see below), whose sum is σ = 609540623653248. Its totient is φ = 74901974722560.

The previous prime is 232123012200097. The next prime is 232123012200127. The reversal of 232123012200100 is 1002210321232.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647335459 + ... + 647693941.

It is an arithmetic number, because the mean of its divisors is an integer number (4232920997592).

Almost surely, 2232123012200100 is an apocalyptic number.

232123012200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232123012200100 is an abundant number, since it is smaller than the sum of its proper divisors (377417611453148).

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

232123012200100 is a wasteful number, since it uses less digits than its factorization.

232123012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412934 (or 412927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 232123012200100 its reverse (1002210321232), we get a palindrome (233125222521332).

The spelling of 232123012200100 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 54413 108826 217652 272065 358483 380891 544130 716966 761782 925021 1088260 1360325 1433932 1523564 1792415 1850042 1904455 2509381 2720650 3584830 3700084 3808910 4625105 5018762 5441300 6094211 6475147 7169660 7617820 8962075 9250210 9522275 10037524 12188422 12546905 12950294 17924150 18500420 19044550 23125525 24376844 25093810 25900588 30471055 32375735 35848300 38089100 42659477 46251050 50187620 60942110 62734525 64751470 85318954 92502100 121884220 125469050 129502940 152355275 161878675 170637908 213297385 250938100 304710550 323757350 426594770 609421100 647514700 853189540 1066486925 2132973850 4265947700 19506135479 39012270958 78024541916 97530677395 136542948353 195061354790 273085896706 331604303143 390122709580 487653386975 546171793412 663208606286 682714741765 975306773950 1326417212572 1365429483530 1658021515715 1950613547900 2321230122001 2730858967060 3316043031430 3413573708825 4642460244002 6632086062860 6827147417650 8290107578575 9284920488004 11606150610005 13654294835300 16580215157150 23212301220010 33160430314300 46424602440020 58030753050025 116061506100050 232123012200100