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3031131121320 = 2335611992080849
BaseRepresentation
bin101100000110111101011…
…111100110011010101000
3101201202212201222002120110
4230012331133212122220
5344130224031340240
610240252111254320
7431664153264531
oct54067537463250
911652781862513
103031131121320
11a6954a550a15
1240b55381a3a0
1318cab0351153
14a69c9661688
1553ca77eec80
hex2c1bd7e66a8

3031131121320 has 128 divisors (see below), whose sum is σ = 9288914400000. Its totient is φ = 791055175680.

The previous prime is 3031131121261. The next prime is 3031131121387. The reversal of 3031131121320 is 231211311303.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416256 + ... + 2497104.

It is an arithmetic number, because the mean of its divisors is an integer number (72569643750).

Almost surely, 23031131121320 is an apocalyptic number.

3031131121320 is a gapful number since it is divisible by the number (30) 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 3031131121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644457200000).

3031131121320 is an abundant number, since it is smaller than the sum of its proper divisors (6257783278680).

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

3031131121320 is a wasteful number, since it uses less digits than its factorization.

3031131121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081123 (or 2081119 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3031131121320 its reverse (231211311303), we get a palindrome (3262342432623).

The spelling of 3031131121320 in words is "three trillion, thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 199 244 305 366 398 488 597 610 732 796 915 995 1194 1220 1464 1592 1830 1990 2388 2440 2985 3660 3980 4776 5970 7320 7960 11940 12139 23880 24278 36417 48556 60695 72834 97112 121390 145668 182085 242780 291336 364170 485560 728340 1456680 2080849 4161698 6242547 8323396 10404245 12485094 16646792 20808490 24970188 31212735 41616980 49940376 62425470 83233960 124850940 126931789 249701880 253863578 380795367 414088951 507727156 634658945 761590734 828177902 1015454312 1242266853 1269317890 1523181468 1656355804 1903976835 2070444755 2484533706 2538635780 3046362936 3312711608 3807953670 4140889510 4969067412 5077271560 6211334265 7615907340 8281779020 9938134824 12422668530 15231814680 16563558040 24845337060 25259426011 49690674120 50518852022 75778278033 101037704044 126297130055 151556556066 202075408088 252594260110 303113112132 378891390165 505188520220 606226224264 757782780330 1010377040440 1515565560660 3031131121320