Search a number
-
+
132033230032 = 241173113199457
BaseRepresentation
bin111101011110111001…
…0110011010011010000
3110121210121211000212211
41322331302303103100
54130401001330112
6140353310201504
712352622636464
oct1727562632320
9417717730784
10132033230032
1150aa4352a30
12217097b3294
13c5b21b5122
1465675344a4
15367b5dc0a7
hex1ebdcb34d0

132033230032 has 160 divisors (see below), whose sum is σ = 287458387200. Its totient is φ = 58246594560.

The previous prime is 132033229997. The next prime is 132033230039. The reversal of 132033230032 is 230032330231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132033229985 and 132033230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033230039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288912748 + ... + 288913204.

It is an arithmetic number, because the mean of its divisors is an integer number (1796614920).

Almost surely, 2132033230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132033230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143729193600).

132033230032 is an abundant number, since it is smaller than the sum of its proper divisors (155425157168).

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

132033230032 is a wasteful number, since it uses less digits than its factorization.

132033230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 132033230032 its reverse (230032330231), we get a palindrome (362065560263).

The spelling of 132033230032 in words is "one hundred thirty-two billion, thirty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 73 88 113 146 176 199 226 292 398 452 457 584 796 803 904 914 1168 1243 1592 1606 1808 1828 2189 2486 3184 3212 3656 4378 4972 5027 6424 7312 8249 8756 9944 10054 12848 14527 16498 17512 19888 20108 22487 29054 32996 33361 35024 40216 44974 51641 58108 65992 66722 80432 89948 90739 90943 103282 116216 131984 133444 159797 179896 181478 181886 206564 232432 247357 266888 319594 359792 362956 363772 366971 413128 494714 533776 568051 639188 725912 727544 733942 826256 989428 1000373 1136102 1278376 1451824 1455088 1467884 1641551 1978856 2000746 2272204 2556752 2935768 3283102 3769793 3957712 4001492 4544408 5871536 6566204 6638839 7539586 8002984 9088816 10276559 13132408 13277678 15079172 16005968 18057061 20553118 26264816 26555356 30158344 36114122 41106236 41467723 53110712 60316688 72228244 73027229 82212472 82935446 106221424 113042149 144456488 146054458 164424944 165870892 226084298 288912976 292108916 331741784 452168596 584217832 663483568 750188807 904337192 1168435664 1500377614 1808674384 3000755228 6001510456 8252076877 12003020912 16504153754 33008307508 66016615016 132033230032