Search a number
-
+
121121010 = 232519193367
BaseRepresentation
bin1110011100000…
…10100011110010
322102220120210100
413032002203302
5222001333020
620004013230
73000340323
oct716024362
9272816710
10121121010
116240800a
1234691216
131c12a24a
141212c44a
15a977a90
hex73828f2

121121010 has 96 divisors (see below), whose sum is σ = 334114560. Its totient is φ = 30357504.

The previous prime is 121121003. The next prime is 121121083. The reversal of 121121010 is 10121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121120983 and 121121001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 329847 + ... + 330213.

It is an arithmetic number, because the mean of its divisors is an integer number (3480360).

Almost surely, 2121121010 is an apocalyptic number.

121121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167057280).

121121010 is an abundant number, since it is smaller than the sum of its proper divisors (212993550).

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

121121010 is a wasteful number, since it uses less digits than its factorization.

121121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 121121010 is about 11005.4990800054. The cubic root of 121121010 is about 494.7735725968.

Adding to 121121010 its reverse (10121121), we get a palindrome (131242131).

The spelling of 121121010 in words is "one hundred twenty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 193 285 342 367 386 570 579 734 855 965 1101 1158 1710 1737 1835 1930 2202 2895 3303 3474 3667 3670 5505 5790 6606 6973 7334 8685 11001 11010 13946 16515 17370 18335 20919 22002 33003 33030 34865 36670 41838 55005 62757 66006 69730 70831 104595 110010 125514 141662 165015 209190 212493 313785 330030 354155 424986 627570 637479 708310 1062465 1274958 1345789 2124930 2691578 3187395 4037367 6374790 6728945 8074734 12112101 13457890 20186835 24224202 40373670 60560505 121121010