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1141330021230 = 235717933719007
BaseRepresentation
bin10000100110111100100…
…100100000101101101110
311001002222020210101100210
4100212330210200231232
5122144420441134410
62232153023203250
7145313136053160
oct20467444405556
94032866711323
101141330021230
11400043051733
12165245146526
138381c577339
143d35256c930
151ea4e108220
hex109bc920b6e

1141330021230 has 128 divisors (see below), whose sum is σ = 3149277511680. Its totient is φ = 259312279680.

The previous prime is 1141330021217. The next prime is 1141330021243. The reversal of 1141330021230 is 321200331411.

It is an interprime number because it is at equal distance from previous prime (1141330021217) and next prime (1141330021243).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1141330021197 and 1141330021206.

It is a congruent number.

It is an unprimeable number.

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, 126711387 + ... + 126720393.

It is an arithmetic number, because the mean of its divisors is an integer number (24603730560).

Almost surely, 21141330021230 is an apocalyptic number.

1141330021230 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 1141330021230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574638755840).

1141330021230 is an abundant number, since it is smaller than the sum of its proper divisors (2007947490450).

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

1141330021230 is a wasteful number, since it uses less digits than its factorization.

1141330021230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12574.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1141330021230 its reverse (321200331411), we get a palindrome (1462530352641).

The spelling of 1141330021230 in words is "one trillion, one hundred forty-one billion, three hundred thirty million, twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 358 537 895 1074 1253 1790 2506 2685 3371 3759 5370 6265 6742 7518 9007 10113 12530 16855 18014 18795 20226 23597 27021 33710 37590 45035 47194 50565 54042 63049 70791 90070 101130 117985 126098 135105 141582 189147 235970 270210 315245 353955 378294 603409 630490 707910 945735 1206818 1612253 1810227 1891470 3017045 3224506 3620454 4223863 4836759 6034090 8061265 8447726 9051135 9673518 11285771 12671589 16122530 18102270 21119315 22571542 24183795 25343178 30362597 33857313 42238630 48367590 56428855 60725194 63357945 67714626 91087791 112857710 126715890 151812985 169286565 182175582 212538179 303625970 338573130 425076358 455438955 637614537 910877910 1062690895 1275229074 2125381790 3188072685 5434904863 6376145370 10869809726 16304714589 27174524315 32609429178 38044334041 54349048630 76088668082 81523572945 114133002123 163047145890 190221670205 228266004246 380443340410 570665010615 1141330021230