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121102010033 = 172617698933
BaseRepresentation
bin111000011001000111…
…1100000011010110001
3102120120210210112001212
41300302033200122301
53441004103310113
6131344500205505
711515010046434
oct1606217403261
9376523715055
10121102010033
11473a4a22614
121b578999895
13b55c5bcc04
145c0b84981b
15323bad70a8
hex1c323e06b1

121102010033 has 24 divisors (see below), whose sum is σ = 130938312120. Its totient is φ = 111951544320.

The previous prime is 121102010027. The next prime is 121102010041. The reversal of 121102010033 is 330010201121.

It can be written as a sum of positive squares in 12 ways, for example, as 36579240049 + 84522769984 = 191257^2 + 290728^2 .

It is not a de Polignac number, because 121102010033 - 210 = 121102009009 is a prime.

It is a super-2 number, since 2×1211020100332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121102010053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13552235 + ... + 13561167.

It is an arithmetic number, because the mean of its divisors is an integer number (5455763005).

Almost surely, 2121102010033 is an apocalyptic number.

It is an amenable number.

121102010033 is a deficient number, since it is larger than the sum of its proper divisors (9836302087).

121102010033 is an equidigital number, since it uses as much as digits as its factorization.

121102010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 121102010033 its reverse (330010201121), we get a palindrome (451112211154).

The spelling of 121102010033 in words is "one hundred twenty-one billion, one hundred two million, ten thousand, thirty-three".

Divisors: 1 17 61 289 769 1037 8933 13073 17629 46909 151861 222241 544913 797453 2581637 6869477 9263521 13556701 116781109 157479857 419038097 1985278853 7123647649 121102010033