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121121310 = 23511335729
BaseRepresentation
bin1110011100000…
…10101000011110
322102220121012110
413032002220132
5222001340220
620004014450
73000341232
oct716025036
9272817173
10121121310
1162408262
1234691426
131c12a41b
141212c5c2
15a977be0
hex7382a1e

121121310 has 32 divisors (see below), whose sum is σ = 293271840. Its totient is φ = 32012288.

The previous prime is 121121293. The next prime is 121121317. The reversal of 121121310 is 13121121.

It is a super-2 number, since 2×1211213102 = 29340743472232200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121317) 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 15 ways as a sum of consecutive naturals, for example, 14475 + ... + 21254.

It is an arithmetic number, because the mean of its divisors is an integer number (9164745).

Almost surely, 2121121310 is an apocalyptic number.

121121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121121310 is an abundant number, since it is smaller than the sum of its proper divisors (172150530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121121310 is a wasteful number, since it uses less digits than its factorization.

121121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35852.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 121121310 is about 11005.5127095470. The cubic root of 121121310 is about 494.7739810917.

Adding to 121121310 its reverse (13121121), we get a palindrome (134242431).

The spelling of 121121310 in words is "one hundred twenty-one million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 3390 35729 71458 107187 178645 214374 357290 535935 1071870 4037377 8074754 12112131 20186885 24224262 40373770 60560655 121121310