Search a number
-
+
1132031300220 = 2232571268932941
BaseRepresentation
bin10000011110010010010…
…100101101001001111100
311000012222012121102011100
4100132102110231021330
5122021400003101340
62224014211253100
7144533535200322
oct20362224551174
94005865542140
101132031300220
113a710117aa37
1216348abaa190
1382999c56462
143cb0d5d7d12
151e6a7ac1830
hex1079252d27c

1132031300220 has 144 divisors (see below), whose sum is σ = 3483592781760. Its totient is φ = 297503539200.

The previous prime is 1132031300219. The next prime is 1132031300237. The reversal of 1132031300220 is 220031302311.

1132031300220 is a `hidden beast` number, since 1 + 132 + 0 + 313 + 0 + 0 + 220 = 666.

It is a super-3 number, since 3×11320313002203 (a number of 37 digits) contains 333 as substring.

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 = 1132031300193 and 1132031300202.

It is a congruent number.

It is an unprimeable number.

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, 34348950 + ... + 34381890.

It is an arithmetic number, because the mean of its divisors is an integer number (24191616540).

Almost surely, 21132031300220 is an apocalyptic number.

1132031300220 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 1132031300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741796390880).

1132031300220 is an abundant number, since it is smaller than the sum of its proper divisors (2351561481540).

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

1132031300220 is a wasteful number, since it uses less digits than its factorization.

1132031300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35716 (or 35711 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1132031300220 its reverse (220031302311), we get a palindrome (1352062602531).

The spelling of 1132031300220 in words is "one trillion, one hundred thirty-two billion, thirty-one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 2689 3195 4260 5378 6390 8067 10756 12780 13445 16134 24201 26890 32268 32941 40335 48402 53780 65882 80670 96804 98823 121005 131764 161340 164705 190919 197646 242010 296469 329410 381838 395292 484020 494115 572757 592938 658820 763676 954595 988230 1145514 1185876 1482345 1718271 1909190 1976460 2291028 2338811 2863785 2964690 3436542 3818380 4677622 5727570 5929380 6873084 7016433 8591355 9355244 11455140 11694055 14032866 17182710 21049299 23388110 28065732 34365420 35082165 42098598 46776220 70164330 84197196 88578349 105246495 140328660 177156698 210492990 265735047 354313396 420985980 442891745 531470094 797205141 885783490 1062940188 1328675235 1594410282 1771566980 2657350470 3188820564 3986025705 5314700940 6289062779 7972051410 12578125558 15944102820 18867188337 25156251116 31445313895 37734376674 56601565011 62890627790 75468753348 94335941685 113203130022 125781255580 188671883370 226406260044 283007825055 377343766740 566015650110 1132031300220