Search a number
-
+
1130233120230 = 2351729137557801
BaseRepresentation
bin10000011100100111001…
…001001100010111100110
311000001022220000101221110
4100130213021030113212
5122004204134321410
62223115534125450
7144441142003134
oct20344711142746
94001286011843
101130233120230
113a6369149775
12163068950886
1382771552926
143c9bc876754
151e5eecc7720
hex1072724c5e6

1130233120230 has 128 divisors (see below), whose sum is σ = 2992853162880. Its totient is φ = 271885107200.

The previous prime is 1130233120193. The next prime is 1130233120231. The reversal of 1130233120230 is 320213320311.

It is a junction number, because it is equal to n+sod(n) for n = 1130233120197 and 1130233120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130233120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747330 + ... + 2305130.

It is an arithmetic number, because the mean of its divisors is an integer number (23381665335).

Almost surely, 21130233120230 is an apocalyptic number.

1130233120230 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 1130233120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496426581440).

1130233120230 is an abundant number, since it is smaller than the sum of its proper divisors (1862620042650).

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

1130233120230 is a wasteful number, since it uses less digits than its factorization.

1130233120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557994.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1130233120230 its reverse (320213320311), we get a palindrome (1450446440541).

The spelling of 1130233120230 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 137 145 170 174 255 274 290 411 435 493 510 685 822 870 986 1370 1479 2055 2329 2465 2958 3973 4110 4658 4930 6987 7395 7946 11645 11919 13974 14790 19865 23290 23838 34935 39730 59595 67541 69870 119190 135082 202623 337705 405246 557801 675410 1013115 1115602 1673403 2026230 2789005 3346806 5578010 8367015 9482617 16176229 16734030 18965234 28447851 32352458 47413085 48528687 56895702 76418737 80881145 94826170 97057374 142239255 152837474 161762290 229256211 242643435 274995893 284478510 382093685 458512422 485286870 549991786 764187370 824987679 1146281055 1299118529 1374979465 1649975358 2216143373 2292562110 2598237058 2749958930 3897355587 4124938395 4432286746 6495592645 6648430119 7794711174 8249876790 11080716865 12991185290 13296860238 19486777935 22161433730 33242150595 37674437341 38973555870 66484301190 75348874682 113023312023 188372186705 226046624046 376744373410 565116560115 1130233120230