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122101003302 = 232331103487569
BaseRepresentation
bin111000110110111001…
…0010111010000100110
3102200011102120122012120
41301231302113100212
54000030324101202
6132031544130410
711551530255315
oct1615562272046
9380142518176
10122101003302
1147867918a93
121b7b7466a06
13b68b566aa5
145ca43b427c
15329966a0bc
hex1c6dc97426

122101003302 has 128 divisors (see below), whose sum is σ = 266606346240. Its totient is φ = 37167102720.

The previous prime is 122101003273. The next prime is 122101003357. The reversal of 122101003302 is 203300101221.

122101003302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 214588474 + ... + 214589042.

It is an arithmetic number, because the mean of its divisors is an integer number (2082862080).

Almost surely, 2122101003302 is an apocalyptic number.

122101003302 is an abundant number, since it is smaller than the sum of its proper divisors (144505342938).

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

122101003302 is a wasteful number, since it uses less digits than its factorization.

122101003302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122101003302 its reverse (203300101221), we get a palindrome (325401104523).

The spelling of 122101003302 in words is "one hundred twenty-two billion, one hundred one million, three thousand, three hundred two".

Divisors: 1 2 3 6 23 31 46 62 69 93 103 138 186 206 309 487 569 618 713 974 1138 1426 1461 1707 2139 2369 2922 3193 3414 4278 4738 6386 7107 9579 11201 13087 14214 15097 17639 19158 22402 26174 30194 33603 35278 39261 45291 50161 52917 58607 67206 73439 78522 90582 100322 105834 117214 146878 150483 175821 220317 277103 300966 347231 351642 405697 440634 554206 694462 811394 831309 1041693 1153703 1217091 1347961 1554991 1662618 1816817 2083386 2307406 2434182 2695922 3109982 3461109 3633634 4043883 4664973 5450451 6373369 6922218 8087766 8590193 9329946 10900902 12746738 17180386 19120107 25770579 28541609 35764793 38240214 41786791 51541158 57083218 71529586 83573582 85624827 107294379 125360373 171249654 197574439 214588758 250720746 395148878 592723317 656457007 884789879 1185446634 1312914014 1769579758 1969371021 2654369637 3938742042 5308739274 20350167217 40700334434 61050501651 122101003302