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121301424231141 = 37111309574009823
BaseRepresentation
bin11011100101001010110000…
…010011010101001011100101
3120220111022011211001221000010
4123211022300103111023211
5111344400304100344031
61105553034402440433
734356511241502120
oct3345126023251345
9526438154057003
10121301424231141
1135717710725330
1211731041663119
13528b8a1607b1b
1421d503d8373b7
15e054dd60a246
hex6e52b04d52e5

121301424231141 has 32 divisors (see below), whose sum is σ = 201645516054528. Its totient is φ = 63013229979840.

The previous prime is 121301424231109. The next prime is 121301424231199. The reversal of 121301424231141 is 141132424103121.

It is not a de Polignac number, because 121301424231141 - 25 = 121301424231109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121301424231099 and 121301424231108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121301424231101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28246156 + ... + 32255978.

It is an arithmetic number, because the mean of its divisors is an integer number (6301422376704).

Almost surely, 2121301424231141 is an apocalyptic number.

121301424231141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121301424231141 is a deficient number, since it is larger than the sum of its proper divisors (80344091823387).

121301424231141 is a wasteful number, since it uses less digits than its factorization.

121301424231141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140801.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 121301424231141 its reverse (141132424103121), we get a palindrome (262433848334262).

The spelling of 121301424231141 in words is "one hundred twenty-one trillion, three hundred one billion, four hundred twenty-four million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 130957 392871 916699 1440527 2750097 4009823 4321581 10083689 12029469 28068761 30251067 44108053 84206283 132324159 308756371 926269113 525114390611 1575343171833 3675800734277 5776258296721 11027402202831 17328774890163 40433808077047 121301424231141