Search a number
-
+
1105261012240 = 245711315787919
BaseRepresentation
bin10000000101010110101…
…100001010010100010000
310220122212112120212202221
4100011112230022110100
5121102033304342430
62203425551150424
7142565253410440
oct20052654122420
93818775525687
101105261012240
113968140333a0
1215a259815414
13802c1a33a78
143b6d00b0120
151db3c7b457a
hex10156b0a510

1105261012240 has 160 divisors (see below), whose sum is σ = 3307171184640. Its totient is φ = 333384076800.

The previous prime is 1105261012201. The next prime is 1105261012241. The reversal of 1105261012240 is 422101625011.

It is not an unprimeable number, because it can be changed into a prime (1105261012241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703000 + ... + 3084919.

It is an arithmetic number, because the mean of its divisors is an integer number (20669819904).

Almost surely, 21105261012240 is an apocalyptic number.

1105261012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105261012240 is an abundant number, since it is smaller than the sum of its proper divisors (2201910172400).

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

1105261012240 is a wasteful number, since it uses less digits than its factorization.

1105261012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787981 (or 5787975 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1105261012240 its reverse (422101625011), we get a palindrome (1527362637251).

The spelling of 1105261012240 in words is "one trillion, one hundred five billion, two hundred sixty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2480 2728 3080 3410 3472 4340 4774 5456 6160 6820 8680 9548 11935 13640 17360 19096 23870 27280 38192 47740 95480 190960 5787919 11575838 23151676 28939595 40515433 46303352 57879190 63667109 81030866 92606704 115758380 127334218 162061732 179425489 202577165 231516760 254668436 318335545 324123464 358850978 405154330 445669763 463033520 509336872 636671090 648246928 717701956 810308660 891339526 897127445 1018673744 1255978423 1273342180 1435403912 1620617320 1782679052 1794254890 1973680379 2228348815 2511956846 2546684360 2870807824 3241234640 3565358104 3588509780 3947360758 4456697630 5023913692 5093368720 6279892115 7130716208 7177019560 7894721516 8913395260 9868401895 10047827384 12559784230 13815762653 14354039120 15789443032 17826790520 19736803790 20095654768 25119568460 27631525306 31578886064 35653581040 39473607580 50239136920 55263050612 69078813265 78947215160 100478273840 110526101224 138157626530 157894430320 221052202448 276315253060 552630506120 1105261012240