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1331110230320 = 245132364498629
BaseRepresentation
bin10011010111101100010…
…110100011100100110000
311201020211100201220021202
4103113230112203210300
5133302103204332240
62455300435510332
7165112103162333
oct23275426434460
94636740656252
101331110230320
11473580028742
12195b8a1583a8
13986a54b2850
14485d723661a
152495a256315
hex135ec5a3930

1331110230320 has 160 divisors (see below), whose sum is σ = 3478746096000. Its totient is φ = 469990490112.

The previous prime is 1331110230319. The next prime is 1331110230371. The reversal of 1331110230320 is 230320111331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331110230292 and 1331110230301.

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, 154255766 + ... + 154264394.

It is an arithmetic number, because the mean of its divisors is an integer number (21742163100).

Almost surely, 21331110230320 is an apocalyptic number.

1331110230320 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 1331110230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739373048000).

1331110230320 is an abundant number, since it is smaller than the sum of its proper divisors (2147635865680).

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

1331110230320 is a wasteful number, since it uses less digits than its factorization.

1331110230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15127 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1331110230320 its reverse (230320111331), we get a palindrome (1561430341651).

The spelling of 1331110230320 in words is "one trillion, three hundred thirty-one billion, one hundred ten million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 6449 8629 11960 12898 17258 23920 25796 32245 34516 43145 51592 64490 69032 83837 86290 103184 112177 128980 138064 148327 167674 172580 198467 224354 257960 296654 335348 345160 396934 419185 448708 515920 560885 593308 670696 690320 741635 793868 838370 897416 992335 1121770 1186616 1341392 1483270 1587736 1676740 1794832 1928251 1984670 2243540 2373232 2580071 2966540 3175472 3353480 3856502 3969340 4487080 5160142 5933080 6706960 7713004 7938680 8974160 9641255 10320284 11866160 12900355 15426008 15877360 19282510 20640568 25800710 30852016 38565020 41281136 51601420 55648421 77130040 103202840 111296842 154260080 206405680 222593684 278242105 445187368 556484210 723429473 890374736 1112968420 1279913683 1446858946 2225936840 2559827366 2893717892 3617147365 4451873680 5119654732 5787435784 6399568415 7234294730 10239309464 11574871568 12799136830 14468589460 16638877879 20478618928 25598273660 28937178920 33277755758 51196547320 57874357840 66555511516 83194389395 102393094640 133111023032 166388778790 266222046064 332777557580 665555115160 1331110230320