Search a number
-
+
1331130020240 = 2451371794331567
BaseRepresentation
bin10011010111101101100…
…010000011000110010000
311201020212201222022221202
4103113231202003012100
5133302123241121430
62455302424010332
7165112433325026
oct23275542030620
94636781868852
101331130020240
11473590215149
12195b949009a8
13986a9621467
14485d9b08716
152495bd64d45
hex135ed883190

1331130020240 has 160 divisors (see below), whose sum is σ = 3144128762880. Its totient is φ = 524064079872.

The previous prime is 1331130020239. The next prime is 1331130020273. The reversal of 1331130020240 is 420200311331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849475937 + ... + 849477503.

It is an arithmetic number, because the mean of its divisors is an integer number (19650804768).

Almost surely, 21331130020240 is an apocalyptic number.

1331130020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331130020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572064381440).

1331130020240 is an abundant number, since it is smaller than the sum of its proper divisors (1812998742640).

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

1331130020240 is a wasteful number, since it uses less digits than its factorization.

1331130020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1331130020240 its reverse (420200311331), we get a palindrome (1751330331571).

The spelling of 1331130020240 in words is "one trillion, three hundred thirty-one billion, one hundred thirty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 179 274 358 433 548 685 716 866 895 1096 1370 1432 1567 1732 1790 2165 2192 2740 2864 3134 3464 3580 4330 5480 6268 6928 7160 7835 8660 10960 12536 14320 15670 17320 24523 25072 31340 34640 49046 59321 62680 77507 98092 118642 122615 125360 155014 196184 214679 237284 245230 280493 296605 310028 387535 392368 429358 474568 490460 560986 593210 620056 678511 775070 858716 949136 980920 1073395 1121972 1186420 1240112 1357022 1402465 1550140 1717432 1961840 2146790 2243944 2372840 2714044 2804930 3100280 3392555 3434864 4293580 4487888 4745680 5428088 5609860 6200560 6785110 8587160 10618459 10856176 11219720 13570220 17174320 21236918 22439440 27140440 38427541 42473836 53092295 54280880 76855082 84947672 92956007 106184590 121453469 153710164 169895344 185912014 192137705 212369180 242906938 307420328 371824028 384275410 424738360 464780035 485813876 607267345 614840656 743648056 768550820 849476720 929560070 971627752 1214534690 1487296112 1537101640 1859120140 1943255504 2429069380 3074203280 3718240280 4858138760 7436480560 9716277520 16639125253 33278250506 66556501012 83195626265 133113002024 166391252530 266226004048 332782505060 665565010120 1331130020240