Search a number
-
+
110111121000120 = 23356777109190657
BaseRepresentation
bin11001000010010100111110…
…010000001100011010111000
3112102212112001100022110120010
4121002110332100030122320
5103413030033434000440
61030104203424301520
732123160140446122
oct3102247620143270
9472775040273503
10110111121000120
11320a2956239289
12104243337718a0
134959584ac2736
141d29599d6c212
15cae399e3d580
hex64253e40c6b8

110111121000120 has 128 divisors (see below), whose sum is σ = 330869570990400. Its totient is φ = 29315315367936.

The previous prime is 110111121000103. The next prime is 110111121000131. The reversal of 110111121000120 is 21000121111011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110111121000096 and 110111121000105.

It is a congruent number.

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, 577439832 + ... + 577630488.

Almost surely, 2110111121000120 is an apocalyptic number.

110111121000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111121000120 is an abundant number, since it is smaller than the sum of its proper divisors (220758449990280).

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

110111121000120 is a wasteful number, since it uses less digits than its factorization.

110111121000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198457 (or 198453 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110111121000120 its reverse (21000121111011), we get a palindrome (131111242111131).

The spelling of 110111121000120 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 677 1354 2031 2708 3385 4062 5416 6770 7109 8124 10155 13540 14218 16248 20310 21327 27080 28436 35545 40620 42654 56872 71090 81240 85308 106635 142180 170616 190657 213270 284360 381314 426540 571971 762628 853080 953285 1143942 1525256 1906570 2287884 2859855 3813140 4575768 4812793 5719710 7626280 9625586 11439420 14438379 19251172 22878840 24063965 28876758 38502344 48127930 57753516 72191895 96255860 115507032 129074789 144383790 192511720 258149578 288767580 387224367 516299156 577535160 645373945 774448734 1032598312 1290747890 1355380613 1548897468 1936121835 2581495780 2710761226 3097794936 3872243670 4066141839 5162991560 5421522452 6776903065 7744487340 8132283678 10843044904 13553806130 15488974680 16264567356 20330709195 27107612260 32529134712 40661418390 54215224520 81322836780 162645673560 917592675001 1835185350002 2752778025003 3670370700004 4587963375005 5505556050006 7340741400008 9175926750010 11011112100012 13763890125015 18351853500020 22022224200024 27527780250030 36703707000040 55055560500060 110111121000120