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1204314314100 = 22352191012091913
BaseRepresentation
bin10001100001100110101…
…110100001010101110100
311021010112201211222022120
4101201212232201111310
5124212413431022400
62321130535155540
7153003013524162
oct21414656412564
94233481758276
101204314314100
11424824041137
121754a2515bb0
13897493795a1
14424094da232
15214d884aca0
hex11866ba1574

1204314314100 has 144 divisors (see below), whose sum is σ = 3704193958080. Its totient is φ = 301235328000.

The previous prime is 1204314314089. The next prime is 1204314314101. The reversal of 1204314314100 is 14134134021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204314314101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 470257 + ... + 1621656.

Almost surely, 21204314314100 is an apocalyptic number.

1204314314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1204314314100 is an abundant number, since it is smaller than the sum of its proper divisors (2499879643980).

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

1204314314100 is a wasteful number, since it uses less digits than its factorization.

1204314314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092050 (or 2092043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1204314314100 its reverse (14134134021), we get a palindrome (1218448448121).

The spelling of 1204314314100 in words is "one trillion, two hundred four billion, three hundred fourteen million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 150 190 202 228 285 300 303 380 404 475 505 570 606 950 1010 1140 1212 1425 1515 1900 1919 2020 2525 2850 3030 3838 5050 5700 5757 6060 7575 7676 9595 10100 11514 15150 19190 23028 28785 30300 38380 47975 57570 95950 115140 143925 191900 287850 575700 2091913 4183826 6275739 8367652 10459565 12551478 20919130 25102956 31378695 39746347 41838260 52297825 62757390 79492694 104595650 119239041 125514780 156893475 158985388 198731735 209191300 211283213 238478082 313786950 397463470 422566426 476956164 596195205 627573900 633849639 794926940 845132852 993658675 1056416065 1192390410 1267699278 1987317350 2112832130 2384780820 2535398556 2980976025 3169248195 3974634700 4014381047 4225664260 5282080325 5961952050 6338496390 8028762094 10564160650 11923904100 12043143141 12676992780 15846240975 16057524188 20071905235 21128321300 24086286282 31692481950 40143810470 48172572564 60215715705 63384963900 80287620940 100359526175 120431431410 200719052350 240862862820 301078578525 401438104700 602157157050 1204314314100