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121320311332033 = 112310382126907
BaseRepresentation
bin11011100101011100010110…
…000011111001110011000001
3120220120002221002111001200101
4123211130112003321303001
5111400202444200111113
61110005440454522401
734361050261300162
oct3345342603716301
9526502832431611
10121320311332033
1135724722a29820
1211734832966401
1352905c1566778
1421d5d11dc3769
15e05c467e32dd
hex6e57160f9cc1

121320311332033 has 48 divisors (see below), whose sum is σ = 139634834347008. Its totient is φ = 104329334260800.

The previous prime is 121320311332013. The next prime is 121320311332043. The reversal of 121320311332033 is 330233113023121.

It is a happy number.

It is not a de Polignac number, because 121320311332033 - 233 = 121311721397441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121320311331992 and 121320311332010.

It is not an unprimeable number, because it can be changed into a prime (121320311332013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17564830966 + ... + 17564837872.

It is an arithmetic number, because the mean of its divisors is an integer number (2909059048896).

Almost surely, 2121320311332033 is an apocalyptic number.

It is an amenable number.

121320311332033 is a deficient number, since it is larger than the sum of its proper divisors (18314523014975).

121320311332033 is an equidigital number, since it uses as much as digits as its factorization.

121320311332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 121320311332033 its reverse (330233113023121), we get a palindrome (451553424355154).

The spelling of 121320311332033 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred eleven million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 11 23 103 253 821 1133 2369 6907 9031 18883 26059 75977 84563 158861 207713 674041 711421 930193 1747471 1944949 5670647 7414451 7825631 15502943 16362683 21394439 62377117 69426223 130424881 170532373 179989513 584076641 763688453 1434673691 1596803129 4655601187 6424843051 13433762743 17564834419 51211613057 107078827301 147771390173 479526922261 1177867100311 5274796144871 11029119212003 121320311332033