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1104024001320 = 233256150274317
BaseRepresentation
bin10000000100001100111…
…101010101101100101000
310220112200022221012210200
4100010030331111230220
5121042020121020240
62203103121512200
7142522513113552
oct20041475255450
93815608835720
101104024001320
11396239848819
12159b734a2660
1380155681446
143b613aa84d2
151dab8db7930
hex1010cf55b28

1104024001320 has 96 divisors (see below), whose sum is σ = 3646899027720. Its totient is φ = 289580060160.

The previous prime is 1104024001307. The next prime is 1104024001337. The reversal of 1104024001320 is 231004204011.

1104024001320 is a `hidden beast` number, since 1 + 104 + 0 + 240 + 0 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 824307831396 + 279716169924 = 907914^2 + 528882^2 .

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 = 1104024001293 and 1104024001302.

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 23 ways as a sum of consecutive naturals, for example, 25115199 + ... + 25159118.

Almost surely, 21104024001320 is an apocalyptic number.

1104024001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104024001320 is an abundant number, since it is smaller than the sum of its proper divisors (2542875026400).

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

1104024001320 is a wasteful number, since it uses less digits than its factorization.

1104024001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50274395 (or 50274388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1104024001320 its reverse (231004204011), we get a palindrome (1335028205331).

The spelling of 1104024001320 in words is "one trillion, one hundred four billion, twenty-four million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 50274317 100548634 150822951 201097268 251371585 301645902 402194536 452468853 502743170 603291804 754114755 904937706 1005486340 1206583608 1508229510 1809875412 2010972680 2262344265 3016459020 3066733337 3619750824 4524688530 6032918040 6133466674 9049377060 9200200011 12266933348 15333666685 18098754120 18400400022 24533866696 27600600033 30667333370 36800800044 46001000055 55201200066 61334666740 73601600088 92002000110 110402400132 122669333480 138003000165 184004000220 220804800264 276006000330 368008000440 552012000660 1104024001320