Search a number
-
+
11231270120 = 2357192239467
BaseRepresentation
bin10100111010110111…
…11001010011101000
31001222201121122012102
422131123321103220
5141000201120440
65054245032532
7545215135520
oct123533712350
931881548172
1011231270120
114843839524
1222153b5748
13109cb0ca85
147878b2680
1545b023b15
hex29d6f94e8

11231270120 has 128 divisors (see below), whose sum is σ = 30539980800. Its totient is φ = 3631309056.

The previous prime is 11231270111. The next prime is 11231270213. The reversal of 11231270120 is 2107213211.

It is a super-2 number, since 2×112312701202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11231270092 and 11231270101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181627 + ... + 1191093.

It is an arithmetic number, because the mean of its divisors is an integer number (238593600).

Almost surely, 211231270120 is an apocalyptic number.

11231270120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269990400).

11231270120 is an abundant number, since it is smaller than the sum of its proper divisors (19308710680).

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

11231270120 is a wasteful number, since it uses less digits than its factorization.

11231270120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 11231270120 its reverse (2107213211), we get a palindrome (13338483331).

The spelling of 11231270120 in words is "eleven billion, two hundred thirty-one million, two hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 223 266 280 380 446 532 665 760 892 1064 1115 1330 1561 1784 2230 2660 3122 4237 4460 5320 6244 7805 8474 8920 9467 12488 15610 16948 18934 21185 29659 31220 33896 37868 42370 47335 59318 62440 66269 75736 84740 94670 118636 132538 148295 169480 179873 189340 237272 265076 296590 331345 359746 378680 530152 593180 662690 719492 899365 1186360 1259111 1325380 1438984 1798730 2111141 2518222 2650760 3597460 4222282 5036444 6295555 7194920 8444564 10072888 10555705 12591110 14777987 16889128 21111410 25182220 29555974 40111679 42222820 50364440 59111948 73889935 80223358 84445640 118223896 147779870 160446716 200558395 280781753 295559740 320893432 401116790 561563506 591119480 802233580 1123127012 1403908765 1604467160 2246254024 2807817530 5615635060 11231270120