Search a number
-
+
1031341242120 = 233571319930847
BaseRepresentation
bin11110000001000001011…
…10100111011100001000
310122121001221111111011020
433000200232213130020
5113344141324221440
62105442554032440
7134340411625530
oct17004056473410
93577057444136
101031341242120
11368431275a92
12147a6a118720
13763414a8917
1437cbaa6a4c0
151bc62eca3d0
hexf020ba7708

1031341242120 has 128 divisors (see below), whose sum is σ = 3538711756800. Its totient is φ = 235556165376.

The previous prime is 1031341242073. The next prime is 1031341242157. The reversal of 1031341242120 is 212421431301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 642537 + ... + 1573383.

It is an arithmetic number, because the mean of its divisors is an integer number (27646185600).

Almost surely, 21031341242120 is an apocalyptic number.

1031341242120 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 1031341242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769355878400).

1031341242120 is an abundant number, since it is smaller than the sum of its proper divisors (2507370514680).

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

1031341242120 is a wasteful number, since it uses less digits than its factorization.

1031341242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932187 (or 932183 counting only the distinct ones).

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

Adding to 1031341242120 its reverse (212421431301), we get a palindrome (1243762673421).

The spelling of 1031341242120 in words is "one trillion, thirty-one billion, three hundred forty-one million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1319 2638 3957 5276 6595 7914 9233 10552 13190 15828 18466 19785 26380 27699 31656 36932 39570 46165 52760 55398 73864 79140 92330 110796 138495 158280 184660 221592 276990 369320 553980 930847 1107960 1861694 2792541 3723388 4654235 5585082 6515929 7446776 9308470 11170164 13031858 13962705 18616940 19547787 22340328 26063716 27925410 32579645 37233880 39095574 52127432 55850820 65159290 78191148 97738935 111701640 130318580 156382296 195477870 260637160 390955740 781911480 1227787193 2455574386 3683361579 4911148772 6138935965 7366723158 8594510351 9822297544 12277871930 14733446316 17189020702 18416807895 24555743860 25783531053 29466892632 34378041404 36833615790 42972551755 49111487720 51567062106 68756082808 73667231580 85945103510 103134124212 128917655265 147334463160 171890207020 206268248424 257835310530 343780414040 515670621060 1031341242120