Search a number
-
+
1040123010120 = 2335137268323581
BaseRepresentation
bin11110010001011000010…
…10011001110001001000
310200102201221221112010220
433020230022121301020
5114020132442310440
62113454221510040
7135101134465635
oct17105412316110
93612657845126
101040123010120
11371128361297
121496bb112320
137711098a14c
14384b10b518c
151c0c8e4a8d0
hexf22c299c48

1040123010120 has 128 divisors (see below), whose sum is σ = 3144450291840. Its totient is φ = 275227269120.

The previous prime is 1040123010119. The next prime is 1040123010139. The reversal of 1040123010120 is 210103210401.

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 1040123010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44096730 + ... + 44120310.

It is an arithmetic number, because the mean of its divisors is an integer number (24566017905).

Almost surely, 21040123010120 is an apocalyptic number.

1040123010120 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 1040123010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572225145920).

1040123010120 is an abundant number, since it is smaller than the sum of its proper divisors (2104327281720).

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

1040123010120 is a wasteful number, since it uses less digits than its factorization.

1040123010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26415 (or 26411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1040123010120 its reverse (210103210401), we get a palindrome (1250226220521).

The spelling of 1040123010120 in words is "one trillion, forty billion, one hundred twenty-three million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2683 2740 3288 4110 5366 5480 8049 8220 10732 13415 16098 16440 21464 23581 26830 32196 40245 47162 53660 64392 70743 80490 94324 107320 117905 141486 160980 188648 235810 282972 321960 353715 367571 471620 565944 707430 735142 943240 1102713 1414860 1470284 1837855 2205426 2829720 2940568 3230597 3675710 4410852 5513565 6461194 7351420 8821704 9691791 11027130 12922388 14702840 16152985 19383582 22054260 25844776 32305970 38767164 44108520 48458955 63267823 64611940 77534328 96917910 126535646 129223880 189803469 193835820 253071292 316339115 379606938 387671640 506142584 632678230 759213876 949017345 1265356460 1518427752 1898034690 2530712920 3796069380 7592138760 8667691751 17335383502 26003075253 34670767004 43338458755 52006150506 69341534008 86676917510 104012301012 130015376265 173353835020 208024602024 260030752530 346707670040 520061505060 1040123010120