Search a number
-
+
11000511060120 = 23375125748869
BaseRepresentation
bin1010000000010100000110…
…0011011101100010011000
31102221122020112022020000000
42200011001203131202120
52420213021312410440
635221322013213000
72213521630133451
oct240050143354230
942848215266000
1011000511060120
11356132178aa4a
121297b80a91160
1361a46127c3aa
142a05db3aa128
151412364a9730
hexa01418dd898

11000511060120 has 128 divisors (see below), whose sum is σ = 37121066424000. Its totient is φ = 2933469592704.

The previous prime is 11000511060043. The next prime is 11000511060173. The reversal of 11000511060120 is 2106011500011.

It is a happy number.

11000511060120 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 51 + 10 + 601 + 2 + 0 = 666.

It is a super-2 number, since 2×110005110601202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11000511060093 and 11000511060102.

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, 62786955 + ... + 62961914.

Almost surely, 211000511060120 is an apocalyptic number.

11000511060120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000511060120 is an abundant number, since it is smaller than the sum of its proper divisors (26120555363880).

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

11000511060120 is an equidigital number, since it uses as much as digits as its factorization.

11000511060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125748901 (or 125748879 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 11000511060120 its reverse (2106011500011), we get a palindrome (13106522560131).

The spelling of 11000511060120 in words is "eleven trillion, five hundred eleven million, sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 7290 8748 9720 10935 14580 17496 21870 29160 43740 87480 125748869 251497738 377246607 502995476 628744345 754493214 1005990952 1131739821 1257488690 1508986428 1886233035 2263479642 2514977380 3017972856 3395219463 3772466070 4526959284 5029954760 5658699105 6790438926 7544932140 9053918568 10185658389 11317398210 13580877852 15089864280 16976097315 20371316778 22634796420 27161755704 30556975167 33952194630 40742633556 45269592840 50928291945 61113950334 67904389260 81485267112 91670925501 101856583890 122227900668 135808778520 152784875835 183341851002 203713167780 244455801336 275012776503 305569751670 366683702004 407426335560 458354627505 550025553006 611139503340 733367404008 916709255010 1100051106012 1222279006680 1375063882515 1833418510020 2200102212024 2750127765030 3666837020040 5500255530060 11000511060120