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132161042331300 = 223522573607475229
BaseRepresentation
bin11110000011001100100011…
…111110110011011010100100
3122022221110202021102012110210
4132003030203332303122210
5114310311303314100200
61145025540015015420
736560214555351513
oct3603144376633244
9568843667365423
10132161042331300
1139124201a680a4
12129a584180a570
13589896acc5048
14248c8b2b6c67a
151042c2a7a7650
hex783323fb36a4

132161042331300 has 144 divisors (see below), whose sum is σ = 383981064888960. Its totient is φ = 35096006000640.

The previous prime is 132161042331289. The next prime is 132161042331361. The reversal of 132161042331300 is 3133240161231.

It is a happy number.

It is a super-2 number, since 2×1321610423313002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277862086 + ... + 278337314.

It is an arithmetic number, because the mean of its divisors is an integer number (2666535172840).

Almost surely, 2132161042331300 is an apocalyptic number.

132161042331300 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 132161042331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990532444480).

132161042331300 is an abundant number, since it is smaller than the sum of its proper divisors (251820022557660).

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

132161042331300 is a wasteful number, since it uses less digits than its factorization.

132161042331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479110 (or 479103 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 132161042331300 its reverse (3133240161231), we get a palindrome (135294282492531).

The spelling of 132161042331300 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, forty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3607 3855 5140 6425 7214 7710 10821 12850 14428 15420 18035 19275 21642 25700 36070 38550 43284 54105 72140 77100 90175 108210 180350 216420 270525 360700 475229 541050 926999 950458 1082100 1425687 1853998 1900916 2376145 2780997 2851374 3707996 4634995 4752290 5561994 5702748 7128435 9269990 9504580 11123988 11880725 13904985 14256870 18539980 23174975 23761450 27809970 28513740 35642175 46349950 47522900 55619940 69524925 71284350 92699900 122133853 139049850 142568700 244267706 278099700 366401559 488535412 610669265 732803118 1221338530 1465606236 1714151003 1832007795 2442677060 3053346325 3428302006 3664015590 5142453009 6106692650 6856604012 7328031180 8570755015 9160038975 10284906018 12213385300 17141510030 18320077950 20569812036 25712265045 34283020060 36640155900 42853775075 51424530090 85707550150 102849060180 128561325225 171415100300 257122650450 440536807771 514245300900 881073615542 1321610423313 1762147231084 2202684038855 2643220846626 4405368077710 5286441693252 6608052116565 8810736155420 11013420194275 13216104233130 22026840388550 26432208466260 33040260582825 44053680777100 66080521165650 132161042331300