Search a number
-
+
1104103020400 = 245279103339223
BaseRepresentation
bin10000000100010001101…
…010110001011101110000
310220112212211121210121021
4100010101222301131300
5121042200333123100
62203115023305224
7142524462553102
oct20042152613560
93815784553537
101104103020400
1139627a409a46
12159b95a4b214
1380168b5a1b3
143b620397572
151dac0cc5a1a
hex10111ab1770

1104103020400 has 120 divisors (see below), whose sum is σ = 2712272276480. Its totient is φ = 431816037120.

The previous prime is 1104103020359. The next prime is 1104103020403. The reversal of 1104103020400 is 40203014011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104103020403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085189 + ... + 3424411.

Almost surely, 21104103020400 is an apocalyptic number.

1104103020400 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 1104103020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356136138240).

1104103020400 is an abundant number, since it is smaller than the sum of its proper divisors (1608169256080).

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

1104103020400 is a wasteful number, since it uses less digits than its factorization.

1104103020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339423 (or 339412 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1104103020400 its reverse (40203014011), we get a palindrome (1144306034411).

The spelling of 1104103020400 in words is "one trillion, one hundred four billion, one hundred three million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 103 158 200 206 316 395 400 412 515 632 790 824 1030 1264 1580 1648 1975 2060 2575 3160 3950 4120 5150 6320 7900 8137 8240 10300 15800 16274 20600 31600 32548 40685 41200 65096 81370 130192 162740 203425 325480 339223 406850 650960 678446 813700 1356892 1627400 1696115 2713784 3254800 3392230 5427568 6784460 8480575 13568920 16961150 26798617 27137840 33922300 34939969 53597234 67844600 69879938 107194468 133993085 135689200 139759876 174699845 214388936 267986170 279519752 349399690 428777872 535972340 559039504 669965425 698799380 873499225 1071944680 1339930850 1397598760 1746998450 2143889360 2679861700 2760257551 2795197520 3493996900 5359723400 5520515102 6987993800 10719446800 11041030204 13801287755 13975987600 22082060408 27602575510 44164120816 55205151020 69006438775 110410302040 138012877550 220820604080 276025755100 552051510200 1104103020400