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102232110001021 = 711132983101420103
BaseRepresentation
bin10111001111101011000100…
…100110011110101101111101
3111101222021221112002010101021
4113033223010212132231331
5101344432330130013041
61001232441042344141
730351011663122540
oct2717530446365575
9441867845063337
10102232110001021
112a635437a01190
12b57132695b051
1345075a6271590
141b360bc11c857
15bc4459bdacd1
hex5cfac499eb7d

102232110001021 has 128 divisors (see below), whose sum is σ = 145129867223040. Its totient is φ = 69447901824000.

The previous prime is 102232110001013. The next prime is 102232110001027. The reversal of 102232110001021 is 120100011232201.

It is not a de Polignac number, because 102232110001021 - 23 = 102232110001013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102232110000986 and 102232110001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232110001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243140056 + ... + 243560158.

It is an arithmetic number, because the mean of its divisors is an integer number (1133827087680).

Almost surely, 2102232110001021 is an apocalyptic number.

102232110001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102232110001021 is a deficient number, since it is larger than the sum of its proper divisors (42897757222019).

102232110001021 is a wasteful number, since it uses less digits than its factorization.

102232110001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420347.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102232110001021 its reverse (120100011232201), we get a palindrome (222332121233222).

The spelling of 102232110001021 in words is "one hundred two trillion, two hundred thirty-two billion, one hundred ten million, one thousand, twenty-one".

Divisors: 1 7 11 13 29 77 83 91 101 143 203 319 377 581 707 913 1001 1079 1111 1313 2233 2407 2639 2929 4147 6391 7553 7777 8383 9191 11869 14443 16849 20503 26477 29029 31291 32219 38077 58681 83083 92213 101101 108979 185339 219037 225533 243107 266539 344201 418847 420103 645491 762853 1198769 1701749 2409407 2674177 2931929 2940721 3160391 4621133 5461339 8391383 12182987 18719239 22122737 32347931 34764301 34868549 38229373 42430403 60074729 85280909 134012857 158378831 243350107 244079843 297012821 383554039 420523103 453291137 466734433 551595239 938089999 1011187921 1108651817 1230481687 1742167141 2684878273 3173037959 3267141031 3521723449 3861166673 4986202507 6067547629 7078315447 8613371809 11123067131 12195169987 13145442973 13535298557 15996261931 24652064143 34903417549 38738957939 42472833403 45782404837 77861469917 92018100811 94747089899 102129980021 111973833517 144599872703 175958881241 271172705573 320476833859 503606453207 714909860147 1012199108921 1123429780231 1231712168687 1327689740273 3525245172449 7864008461617 9293828181911 14604587143003 102232110001021