Search a number
-
+
1121220330 = 2352329137409
BaseRepresentation
bin100001011010100…
…0111011011101010
32220010202220010220
41002311013123222
54244013022310
6303131350510
736533133636
oct10265073352
92803686126
101121220330
1152599947a
122735b2436
1314b3a06a9
14a8ca3dc6
1568678670
hex42d476ea

1121220330 has 128 divisors (see below), whose sum is σ = 2933107200. Its totient is φ = 273444864.

The previous prime is 1121220323. The next prime is 1121220337. The reversal of 1121220330 is 330221211.

It is an interprime number because it is at equal distance from previous prime (1121220323) and next prime (1121220337).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1121220337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2741166 + ... + 2741574.

It is an arithmetic number, because the mean of its divisors is an integer number (22914900).

Almost surely, 21121220330 is an apocalyptic number.

1121220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466553600).

1121220330 is an abundant number, since it is smaller than the sum of its proper divisors (1811886870).

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

1121220330 is a wasteful number, since it uses less digits than its factorization.

1121220330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1121220330 is about 33484.6282643245. The cubic root of 1121220330 is about 1038.8758594371.

Adding to 1121220330 its reverse (330221211), we get a palindrome (1451441541).

The spelling of 1121220330 in words is "one billion, one hundred twenty-one million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 137 138 145 174 230 274 290 345 409 411 435 667 685 690 818 822 870 1227 1334 1370 2001 2045 2055 2454 3151 3335 3973 4002 4090 4110 6135 6302 6670 7946 9407 9453 10005 11861 11919 12270 15755 18814 18906 19865 20010 23722 23838 28221 31510 35583 39730 47035 47265 56033 56442 59305 59595 71166 91379 94070 94530 112066 118610 119190 141105 168099 177915 182758 272803 274137 280165 282210 336198 355830 456895 545606 548274 560330 818409 840495 913790 1288759 1364015 1370685 1624957 1636818 1680990 2577518 2728030 2741370 3249914 3866277 4092045 4874871 6443795 7732554 8124785 8184090 9749742 12887590 16249570 19331385 24374355 37374011 38662770 48748710 74748022 112122033 186870055 224244066 373740110 560610165 1121220330