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121201323323031 = 33737431847218227
BaseRepresentation
bin11011100011101101100001…
…110100101010111010010111
3120220010201210121112220212000
4123203231201310222322113
5111341230302232314111
61105435041432530343
734346335531016640
oct3343554164527227
9526121717486760
10121201323323031
11356892133384a6
1211715765b509b3
13528230ac27453
1421d026522a6c7
15e02ad05dbc56
hex6e3b61d2ae97

121201323323031 has 128 divisors (see below), whose sum is σ = 215773790453760. Its totient is φ = 65783009126016.

The previous prime is 121201323323011. The next prime is 121201323323051. The reversal of 121201323323031 is 130323323102121.

121201323323031 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 1 + 323 + 32 + 303 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121201323323011) and next prime (121201323323051).

It is not a de Polignac number, because 121201323323031 - 26 = 121201323322967 is a prime.

It is a super-2 number, since 2×1212013233230312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121201323322986 and 121201323323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201323323011) 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, 555281940 + ... + 555500166.

It is an arithmetic number, because the mean of its divisors is an integer number (1685732737920).

Almost surely, 2121201323323031 is an apocalyptic number.

121201323323031 is a deficient number, since it is larger than the sum of its proper divisors (94572467130729).

121201323323031 is a wasteful number, since it uses less digits than its factorization.

121201323323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220170 (or 220164 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121201323323031 its reverse (130323323102121), we get a palindrome (251524646425152).

The spelling of 121201323323031 in words is "one hundred twenty-one trillion, two hundred one billion, three hundred twenty-three million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 9 21 27 37 43 63 111 129 189 259 301 333 387 777 903 999 1161 1591 1847 2331 2709 4773 5541 6993 8127 11137 12929 14319 16623 33411 38787 42957 49869 68339 79421 100233 116361 205017 218227 238263 300699 349083 478373 555947 615051 654681 714789 1435119 1527589 1667841 1845153 1964043 2144367 2938577 4305357 4582767 5003523 5892129 8074399 8815731 9383761 12916071 13748301 15010569 20570039 24223197 26447193 28151283 41244903 56520793 61710117 65686327 72669591 79341579 84453849 169562379 185130351 197058981 218008773 253361547 347199157 403065269 508687137 555391053 591176943 1041597471 1209195807 1526061411 1773530829 2430394099 2821456883 3124792413 3627587421 7291182297 8464370649 9374377239 10882762263 14913414953 17331806567 21873546891 25393111947 44740244859 51995419701 65620640673 76179335841 104393904671 121322645969 134220734577 155986259103 313181714013 363967937907 402662203731 467958777309 641276842979 939545142039 1091903813721 1923830528937 2818635426117 3275711441163 4488937900853 5771491586811 13466813702559 17314474760433 40400441107677 121201323323031