Search a number
-
+
1121223420 = 2232531120029
BaseRepresentation
bin100001011010100…
…1000001011111100
32220010210001101100
41002311020023330
54244013122140
6303131413100
736533145642
oct10265101374
92803701340
101121223420
115259a0829
122735b4190
1314b3a1c15
14a8ca5192
1568679530
hex42d482fc

1121223420 has 72 divisors (see below), whose sum is σ = 3412150560. Its totient is φ = 298016640.

The previous prime is 1121223419. The next prime is 1121223431. The reversal of 1121223420 is 243221211.

It is a happy number.

1121223420 is a `hidden beast` number, since 1 + 1 + 21 + 223 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1121223393 and 1121223402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45966 + ... + 65994.

It is an arithmetic number, because the mean of its divisors is an integer number (47390980).

Almost surely, 21121223420 is an apocalyptic number.

1121223420 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 1121223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706075280).

1121223420 is an abundant number, since it is smaller than the sum of its proper divisors (2290927140).

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

1121223420 is a wasteful number, since it uses less digits than its factorization.

1121223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20355 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1121223420 is about 33484.6744048677. The cubic root of 1121223420 is about 1038.8768137911.

Adding to 1121223420 its reverse (243221211), we get a palindrome (1364444631).

The spelling of 1121223420 in words is "one billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 11196 13995 18660 20029 27990 40058 55980 60087 80116 100145 120174 180261 200290 240348 300435 360522 400580 600870 721044 901305 1201740 1802610 3605220 6229019 12458038 18687057 24916076 31145095 37374114 56061171 62290190 74748228 93435285 112122342 124580380 186870570 224244684 280305855 373741140 560611710 1121223420