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11131230120 = 2335373431577
BaseRepresentation
bin10100101110111100…
…10001011110101000
31001201202101002010020
422113132101132220
5140244043330440
65040312520440
7542561615643
oct122736213650
931652332106
1011131230120
1147a231aa3a
1221a79b0120
131085183cca
147784b0a5a
154523623d0
hex2977917a8

11131230120 has 128 divisors (see below), whose sum is σ = 33619069440. Its totient is φ = 2948382720.

The previous prime is 11131230107. The next prime is 11131230127. The reversal of 11131230120 is 2103213111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131230120.

It is not an unprimeable number, because it can be changed into a prime (11131230127) 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, 19291272 + ... + 19291848.

It is an arithmetic number, because the mean of its divisors is an integer number (262648980).

Almost surely, 211131230120 is an apocalyptic number.

11131230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131230120 is an abundant number, since it is smaller than the sum of its proper divisors (22487839320).

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

11131230120 is a wasteful number, since it uses less digits than its factorization.

11131230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11131230120 its reverse (2103213111), we get a palindrome (13234443231).

The spelling of 11131230120 in words is "eleven billion, one hundred thirty-one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 373 431 577 746 862 1119 1154 1293 1492 1724 1731 1865 2155 2238 2308 2586 2885 2984 3448 3462 3730 4310 4476 4616 5172 5595 5770 6465 6924 7460 8620 8655 8952 10344 11190 11540 12930 13848 14920 17240 17310 22380 23080 25860 34620 44760 51720 69240 160763 215221 248687 321526 430442 482289 497374 643052 645663 746061 803815 860884 964578 994748 1076105 1243435 1286104 1291326 1492122 1607630 1721768 1929156 1989496 2152210 2411445 2486870 2582652 2984244 3215260 3228315 3730305 3858312 4304420 4822890 4973740 5165304 5968488 6430520 6456630 7460610 8608840 9645780 9947480 12913260 14921220 19291560 25826520 29842440 92760251 185520502 278280753 371041004 463801255 556561506 742082008 927602510 1113123012 1391403765 1855205020 2226246024 2782807530 3710410040 5565615060 11131230120