Search a number
-
+
1032234342020 = 2257237151188527
BaseRepresentation
bin11110000010101011111…
…01100001011010000100
310122200101012000122220022
433001111331201122010
5113403003442421040
62110111340154312
7134401505065400
oct17012575413204
93580335018808
101032234342020
1136884a415182
12148079238998
13764545276bb
1437d6350c100
151bcb65e26b5
hexf055f61684

1032234342020 has 144 divisors (see below), whose sum is σ = 2606916920832. Its totient is φ = 342061574400.

The previous prime is 1032234342001. The next prime is 1032234342037. The reversal of 1032234342020 is 202434322301.

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, 5380997 + ... + 5569523.

It is an arithmetic number, because the mean of its divisors is an integer number (18103589728).

Almost surely, 21032234342020 is an apocalyptic number.

1032234342020 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 1032234342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303458460416).

1032234342020 is an abundant number, since it is smaller than the sum of its proper divisors (1574682578812).

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

1032234342020 is a wasteful number, since it uses less digits than its factorization.

1032234342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188738 (or 188729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1032234342020 its reverse (202434322301), we get a palindrome (1234668664321).

The spelling of 1032234342020 in words is "one trillion, thirty-two billion, two hundred thirty-four million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 151 185 196 245 259 302 370 490 518 604 740 755 980 1036 1057 1295 1510 1813 2114 2590 3020 3626 4228 5180 5285 5587 7252 7399 9065 10570 11174 14798 18130 21140 22348 27935 29596 36260 36995 39109 55870 73990 78218 111740 147980 156436 188527 195545 273763 377054 391090 547526 754108 782180 942635 1095052 1319689 1368815 1885270 2639378 2737630 3770540 5278756 5475260 6598445 6975499 9237823 13196890 13950998 18475646 26393780 27901996 28467577 34877495 36951292 46189115 48828493 56935154 69754990 92378230 97656986 113870308 139509980 142337885 184756460 195313972 199273039 244142465 284675770 341799451 398546078 488284930 569351540 683598902 797092156 976569860 996365195 1053300349 1367197804 1394911273 1708997255 1992730390 2106600698 2789822546 3417994510 3985460780 4213201396 5266501745 5579645092 6835989020 6974556365 7373102443 10533003490 13949112730 14746204886 21066006980 27898225460 29492409772 36865512215 51611717101 73731024430 103223434202 147462048860 206446868404 258058585505 516117171010 1032234342020