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110041213031040 = 2735211271626217
BaseRepresentation
bin11001000001010011110111…
…011010011101001010000000
3112102121211121100010200101010
4121001103313122131022000
5103410403401013443130
61030012122502040520
732115133561511154
oct3101236732351200
9472554540120333
10110041213031040
1132076241a95425
1210412883719140
134952ac375b565
141d26047671064
15cac65795b0b0
hex6414f769d280

110041213031040 has 128 divisors (see below), whose sum is σ = 352418720281920. Its totient is φ = 29205250744320.

The previous prime is 110041213031011. The next prime is 110041213031047. The reversal of 110041213031040 is 40130312140011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 110041213030998 and 110041213031016.

It is not an unprimeable number, because it can be changed into a prime (110041213031047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135407989 + ... + 136218228.

Almost surely, 2110041213031040 is an apocalyptic number.

110041213031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110041213031040 is an abundant number, since it is smaller than the sum of its proper divisors (242377507250880).

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

110041213031040 is a wasteful number, since it uses less digits than its factorization.

110041213031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271626450 (or 271626438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 110041213031040 its reverse (40130312140011), we get a palindrome (150171525171051).

The spelling of 110041213031040 in words is "one hundred ten trillion, forty-one billion, two hundred thirteen million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 320 384 422 480 633 640 844 960 1055 1266 1688 1920 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13504 16880 20256 25320 27008 33760 40512 50640 67520 81024 101280 135040 202560 405120 271626217 543252434 814878651 1086504868 1358131085 1629757302 2173009736 2716262170 3259514604 4074393255 4346019472 5432524340 6519029208 8148786510 8692038944 10865048680 13038058416 16297573020 17384077888 21730097360 26076116832 32595146040 34768155776 43460194720 52152233664 57313131787 65190292080 86920389440 104304467328 114626263574 130380584160 171939395361 173840778880 229252527148 260761168320 286565658935 343878790722 458505054296 521522336640 573131317870 687757581444 859696976805 917010108592 1146262635740 1375515162888 1719393953610 1834020217184 2292525271480 2751030325776 3438787907220 3668040434368 4585050542960 5502060651552 6877575814440 7336080868736 9170101085920 11004121303104 13755151628880 18340202171840 22008242606208 27510303257760 36680404343680 55020606515520 110041213031040