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1121124130230 = 23513191210112503
BaseRepresentation
bin10000010100001000001…
…101001001110110110110
310222011211001211202202110
4100110020031021312312
5121332030234131410
62215012020551450
7143666333605026
oct20241015116666
93864731752673
101121124130230
113a2514386765
12161346252586
138194c331c10
143c396bada86
151e26a26c720
hex10508349db6

1121124130230 has 128 divisors (see below), whose sum is σ = 3050679905280. Its totient is φ = 261401817600.

The previous prime is 1121124130219. The next prime is 1121124130241. The reversal of 1121124130230 is 320314211211.

It is an interprime number because it is at equal distance from previous prime (1121124130219) and next prime (1121124130241).

It is a junction number, because it is equal to n+sod(n) for n = 1121124130197 and 1121124130206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89662159 + ... + 89674661.

It is an arithmetic number, because the mean of its divisors is an integer number (23833436760).

Almost surely, 21121124130230 is an apocalyptic number.

1121124130230 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 1121124130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525339952640).

1121124130230 is an abundant number, since it is smaller than the sum of its proper divisors (1929555775050).

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

1121124130230 is a wasteful number, since it uses less digits than its factorization.

1121124130230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24646.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121124130230 its reverse (320314211211), we get a palindrome (1441438341441).

The spelling of 1121124130230 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-four million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 12101 12503 24202 25006 36303 37509 60505 62515 72606 75018 121010 125030 157313 162539 181515 187545 229919 237557 314626 325078 363030 375090 459838 471939 475114 487617 689757 712671 786565 812695 943878 975234 1149595 1187785 1379514 1425342 1573130 1625390 2299190 2359695 2375570 2438085 2988947 3088241 3448785 3563355 4719390 4876170 5977894 6176482 6897570 7126710 8966841 9264723 14944735 15441205 17933682 18529446 29889470 30882410 44834205 46323615 89668410 92647230 151298803 302597606 453896409 756494015 907792818 1512988030 1966884439 2269482045 2874677257 3933768878 4538964090 5749354514 5900653317 8624031771 9834422195 11801306634 14373386285 17248063542 19668844390 28746772570 29503266585 37370804341 43120158855 59006533170 74741608682 86240317710 112112413023 186854021705 224224826046 373708043410 560562065115 1121124130230