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121120029 = 348531753
BaseRepresentation
bin1110011100000…
…10010100011101
322102220112110000
413032002110131
5222001320104
620004004513
73000334422
oct716022435
9272815400
10121120029
11624072a8
1234690739
131c129974
141212bd49
15a977639
hex738251d

121120029 has 20 divisors (see below), whose sum is σ = 181247836. Its totient is φ = 80606016.

The previous prime is 121120009. The next prime is 121120057. The reversal of 121120029 is 920021121.

It can be written as a sum of positive squares in 2 ways, for example, as 5062500 + 116057529 = 2250^2 + 10773^2 .

It is not a de Polignac number, because 121120029 - 212 = 121115933 is a prime.

It is a super-2 number, since 2×1211200292 = 29340122849921682, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121119993 and 121120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68217 + ... + 69969.

Almost surely, 2121120029 is an apocalyptic number.

It is an amenable number.

121120029 is a deficient number, since it is larger than the sum of its proper divisors (60127807).

121120029 is an equidigital number, since it uses as much as digits as its factorization.

121120029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121120029 is about 11005.4545112867. The cubic root of 121120029 is about 494.7722368137.

The spelling of 121120029 in words is "one hundred twenty-one million, one hundred twenty thousand, twenty-nine".

Divisors: 1 3 9 27 81 853 1753 2559 5259 7677 15777 23031 47331 69093 141993 1495309 4485927 13457781 40373343 121120029