Search a number
-
+
1120400310224 = 241329434319599
BaseRepresentation
bin10000010011011101000…
…011111111111111010000
310222002221121211220101002
4100103131003333333100
5121324034434411344
62214412123001132
7143642364334436
oct20233503777720
93862847756332
101120400310224
113a2182848008
121611839691a8
13818653a2760
143c3289d4d56
151e22694244e
hex104dd0fffd0

1120400310224 has 80 divisors (see below), whose sum is σ = 2474612448000. Its totient is φ = 487665335808.

The previous prime is 1120400310199. The next prime is 1120400310233. The reversal of 1120400310224 is 4220130040211.

It is a junction number, because it is equal to n+sod(n) for n = 1120400310196 and 1120400310205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900424 + ... + 2419175.

It is an arithmetic number, because the mean of its divisors is an integer number (30932655600).

Almost surely, 21120400310224 is an apocalyptic number.

It is an amenable number.

1120400310224 is an abundant number, since it is smaller than the sum of its proper divisors (1354212137776).

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

1120400310224 is a wasteful number, since it uses less digits than its factorization.

1120400310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319692 (or 4319686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1120400310224 its reverse (4220130040211), we get a palindrome (5340530350435).

The spelling of 1120400310224 in words is "one trillion, one hundred twenty billion, four hundred million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 43 52 58 86 104 116 172 208 232 344 377 464 559 688 754 1118 1247 1508 2236 2494 3016 4472 4988 6032 8944 9976 16211 19952 32422 64844 129688 259376 4319599 8639198 17278396 34556792 56154787 69113584 112309574 125268371 185742757 224619148 250536742 371485514 449238296 501073484 742971028 898476592 1002146968 1485942056 1628488823 2004293936 2414655841 2971884112 3256977646 4829311682 5386539953 6513955292 9658623364 10773079906 13027910584 19317246728 21546159812 26055821168 38634493456 43092319624 70025019389 86184639248 140050038778 280100077556 560200155112 1120400310224