Search a number
-
+
132122034010410 = 23531307613754907
BaseRepresentation
bin11110000010101000001110…
…111001110111100100101010
3122022210202001201101011222020
4132002220032321313210222
5114304141411201313120
61145000005143205310
736554334112164453
oct3602501671674452
9568722051334866
10132122034010410
113910970486a274
121299a175a46836
135895092528472
14248aa5218412a
151041be5dab640
hex782a0ee7792a

132122034010410 has 128 divisors (see below), whose sum is σ = 328924020547584. Its totient is φ = 33929461543680.

The previous prime is 132122034010403. The next prime is 132122034010427. The reversal of 132122034010410 is 14010430221231.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174640177 + ... + 175395083.

It is an arithmetic number, because the mean of its divisors is an integer number (2569718910528).

Almost surely, 2132122034010410 is an apocalyptic number.

132122034010410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122034010410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164462010273792).

132122034010410 is an abundant number, since it is smaller than the sum of its proper divisors (196801986537174).

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

132122034010410 is a wasteful number, since it uses less digits than its factorization.

132122034010410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755868.

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

Adding to 132122034010410 its reverse (14010430221231), we get a palindrome (146132464231641).

The spelling of 132122034010410 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, thirty-four million, ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 307 310 465 613 614 921 930 1226 1535 1839 1842 3065 3070 3678 4605 6130 9195 9210 9517 18390 19003 19034 28551 38006 47585 57009 57102 95015 95170 114018 142755 188191 190030 285045 285510 376382 564573 570090 754907 940955 1129146 1509814 1881910 2264721 2822865 3774535 4529442 5645730 5833921 7549070 11323605 11667842 17501763 22647210 23402117 29169605 35003526 46804234 58339210 70206351 87508815 117010585 140412702 175017630 231756449 234021170 351031755 462757991 463512898 695269347 702063510 925515982 1158782245 1388273973 1390538694 2313789955 2317564490 2776547946 3476346735 4627579910 6941369865 6952693470 7184449919 13882739730 14345497721 14368899838 21553349757 28690995442 35922249595 43036493163 43106699514 71727488605 71844499190 86072986326 107766748785 142066703237 143454977210 215182465815 215533497570 284133406474 426200109711 430364931630 710333516185 852400219422 1420667032370 2131000548555 4262001097110 4404067800347 8808135600694 13212203401041 22020339001735 26424406802082 44040678003470 66061017005205 132122034010410