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1120333104 = 243211294
BaseRepresentation
bin100001011000110…
…1110110100110000
32220002002211002200
41002301232310300
54243301124404
6303100343200
736522450162
oct10261566460
92802084080
101120333104
11525442930
12273244b00
1314b14c8c7
14a8b12932
1568550839
hex42c6ed30

1120333104 has 150 divisors (see below), whose sum is σ = 3542568276. Its totient is φ = 327788160.

The previous prime is 1120333103. The next prime is 1120333111. The reversal of 1120333104 is 4013330211.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1120333103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38632162 + ... + 38632190.

Almost surely, 21120333104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771284138).

1120333104 is an abundant number, since it is smaller than the sum of its proper divisors (2422235172).

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

1120333104 is an frugal number, since it uses more digits than its factorization.

1120333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1120333104 is about 33471.3773842667. The cubic root of 1120333104 is about 1038.6017649601.

Adding to 1120333104 its reverse (4013330211), we get a palindrome (5133663315).

The spelling of 1120333104 in words is "one billion, one hundred twenty million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 841 957 1044 1276 1392 1584 1682 1914 2088 2523 2552 2871 3364 3828 4176 5046 5104 5742 6728 7569 7656 9251 10092 11484 13456 15138 15312 18502 20184 22968 24389 27753 30276 37004 40368 45936 48778 55506 60552 73167 74008 83259 97556 111012 121104 146334 148016 166518 195112 219501 222024 268279 292668 333036 390224 439002 444048 536558 585336 666072 707281 804837 878004 1073116 1170672 1332144 1414562 1609674 1756008 2121843 2146232 2414511 2829124 3219348 3512016 4243686 4292464 4829022 5658248 6365529 6438696 7780091 8487372 9658044 11316496 12731058 12877392 15560182 16974744 19316088 23340273 25462116 31120364 33949488 38632176 46680546 50924232 62240728 70020819 93361092 101848464 124481456 140041638 186722184 280083276 373444368 560166552 1120333104