Search a number
-
+
1052043323320 = 23511393721089
BaseRepresentation
bin11110100111100101010…
…10110010011110111000
310201120111201010011202101
433103302222302132320
5114214041042321240
62123145123313144
7136002420462433
oct17236252623670
93646451104671
101052043323320
11376195036000
1214ba8721b7b4
1378290471002
1438cc22ac81a
151c5756ca39a
hexf4f2ab27b8

1052043323320 has 128 divisors (see below), whose sum is σ = 2606531659200. Its totient is φ = 382134804480.

The previous prime is 1052043323293. The next prime is 1052043323327. The reversal of 1052043323320 is 233233402501.

It is a super-2 number, since 2×10520433233202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052043323327) by changing a digit.

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, 49875336 + ... + 49896424.

Almost surely, 21052043323320 is an apocalyptic number.

1052043323320 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 1052043323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303265829600).

1052043323320 is an abundant number, since it is smaller than the sum of its proper divisors (1554488335880).

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

1052043323320 is a wasteful number, since it uses less digits than its factorization.

1052043323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22070 (or 22044 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 1052043323320 its reverse (233233402501), we get a palindrome (1285276725821).

The spelling of 1052043323320 in words is "one trillion, fifty-two billion, forty-three million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 937 968 1210 1331 1874 2420 2662 3748 4685 4840 5324 6655 7496 9370 10307 10648 13310 18740 20614 21089 26620 37480 41228 42178 51535 53240 82456 84356 103070 105445 113377 168712 206140 210890 226754 231979 412280 421780 453508 463958 566885 843560 907016 927916 1133770 1159895 1247147 1855832 2267540 2319790 2494294 2551769 4535080 4639580 4988588 5103538 6235735 9279160 9977176 10207076 12471470 12758845 19760393 20414152 24942940 25517690 28069459 39520786 49885880 51035380 56138918 79041572 98801965 102070760 112277836 140347295 158083144 197603930 217364323 224555672 280694590 395207860 434728646 561389180 790415720 869457292 1086821615 1122778360 1738914584 2173643230 2391007553 4347286460 4782015106 8694572920 9564030212 11955037765 19128060424 23910075530 26301083083 47820151060 52602166166 95640302120 105204332332 131505415415 210408664664 263010830830 526021661660 1052043323320