Search a number
-
+
121115160 = 233251013331
BaseRepresentation
bin1110011100000…
…01001000011000
322102220021202200
413032001020120
5222001141120
620003530200
73000314265
oct716011030
9272807680
10121115160
1162403681
1234689960
131c12769a
141212a26c
15a975e90
hex7381218

121115160 has 96 divisors (see below), whose sum is σ = 397640880. Its totient is φ = 31968000.

The previous prime is 121115147. The next prime is 121115161. The reversal of 121115160 is 61511121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121115161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34695 + ... + 38025.

Almost surely, 2121115160 is an apocalyptic number.

121115160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121115160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198820440).

121115160 is an abundant number, since it is smaller than the sum of its proper divisors (276525720).

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

121115160 is a wasteful number, since it uses less digits than its factorization.

121115160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 121115160 is about 11005.2333005711. The cubic root of 121115160 is about 494.7656068112.

Adding to 121115160 its reverse (61511121), we get a palindrome (182626281).

It can be divided in two parts, 12111 and 5160, that added together give a palindrome (17271).

The spelling of 121115160 in words is "one hundred twenty-one million, one hundred fifteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3331 3636 4040 4545 6060 6662 7272 9090 9993 12120 13324 16655 18180 19986 26648 29979 33310 36360 39972 49965 59958 66620 79944 99930 119916 133240 149895 199860 239832 299790 336431 399720 599580 672862 1009293 1199160 1345724 1682155 2018586 2691448 3027879 3364310 4037172 5046465 6055758 6728620 8074344 10092930 12111516 13457240 15139395 20185860 24223032 30278790 40371720 60557580 121115160