Search a number
-
+
121013046 = 232721112473
BaseRepresentation
bin1110011011010…
…00001100110110
322102201002200200
413031220030312
5221434404141
620001421330
72666410500
oct715501466
9272632620
10121013046
1162343990
123463a846
131c0c006b
1412100d70
15a955ab6
hex7368336

121013046 has 72 divisors (see below), whose sum is σ = 332756424. Its totient is φ = 31429440.

The previous prime is 121013003. The next prime is 121013047. The reversal of 121013046 is 640310121.

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 (121013047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3466 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617).

Almost surely, 2121013046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121013046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166378212).

121013046 is an abundant number, since it is smaller than the sum of its proper divisors (211743378).

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

121013046 is a wasteful number, since it uses less digits than its factorization.

121013046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12506 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121013046 is about 11000.5929840168. The cubic root of 121013046 is about 494.6265196246.

Adding to 121013046 its reverse (640310121), we get a palindrome (761323167).

The spelling of 121013046 in words is "one hundred twenty-one million, thirteen thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 12473 24946 37419 74838 87311 112257 137203 174622 224514 261933 274406 411609 523866 611177 785799 823218 960421 1222354 1234827 1571598 1833531 1920842 2469654 2881263 3667062 5500593 5762526 6722947 8643789 11001186 13445894 17287578 20168841 40337682 60506523 121013046