Search a number
-
+
121003220 = 225133371381
BaseRepresentation
bin1110011011001…
…01110011010100
322102200121012202
413031211303110
5221434100340
620001304032
72666340032
oct715456324
9272617182
10121003220
1162337568
1234635018
131c0b8750
14120db552
15a952c15
hex7365cd4

121003220 has 48 divisors (see below), whose sum is σ = 274664208. Its totient is φ = 44513280.

The previous prime is 121003123. The next prime is 121003231. The reversal of 121003220 is 22300121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19114384 + 101888836 = 4372^2 + 10094^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86930 + ... + 88310.

It is an arithmetic number, because the mean of its divisors is an integer number (5722171).

Almost surely, 2121003220 is an apocalyptic number.

121003220 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 121003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332104).

121003220 is an abundant number, since it is smaller than the sum of its proper divisors (153660988).

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

121003220 is a wasteful number, since it uses less digits than its factorization.

121003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 121003220 is about 11000.1463626626. The cubic root of 121003220 is about 494.6131317244.

Adding to 121003220 its reverse (22300121), we get a palindrome (143303341).

The spelling of 121003220 in words is "one hundred twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 674 1348 1381 1685 2762 3370 4381 5524 6740 6905 8762 13810 17524 17953 21905 27620 35906 43810 71812 87620 89765 179530 359060 465397 930794 1861588 2326985 4653970 6050161 9307940 12100322 24200644 30250805 60501610 121003220