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132322220011332 = 2232133734011890313
BaseRepresentation
bin11110000101100010101010…
…111010110110111101000100
3122100111212210000122200202200
4132011202222322312331010
5114320431401310330312
61145231553320034500
736604651652132301
oct3605425272667504
9570455700580680
10132322220011332
11391865a162173a
1212a10b23902a30
1358aac1623ca50
142496602c420a8
1510470108220dc
hex7858aaeb6f44

132322220011332 has 144 divisors (see below), whose sum is σ = 362077079892528. Its totient is φ = 40504093286400.

The previous prime is 132322220011321. The next prime is 132322220011369. The reversal of 132322220011332 is 233110022223231.

132322220011332 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 2 + 2 + 0 + 0 + 1 + 1 + 332 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31484151433476 + 100838068577856 = 5611074^2 + 10041816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132322220011296 and 132322220011305.

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, 69055008 + ... + 70945320.

Almost surely, 2132322220011332 is an apocalyptic number.

132322220011332 is a gapful number since it is divisible by the number (12) 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 132322220011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181038539946264).

132322220011332 is an abundant number, since it is smaller than the sum of its proper divisors (229754859881196).

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

132322220011332 is a wasteful number, since it uses less digits than its factorization.

132322220011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891110 (or 1891105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132322220011332 its reverse (233110022223231), we get a palindrome (365432242234563).

The spelling of 132322220011332 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, two hundred twenty million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 373 401 468 746 802 1119 1203 1492 1604 2238 2406 3357 3609 4476 4812 4849 5213 6714 7218 9698 10426 13428 14436 14547 15639 19396 20852 29094 31278 43641 46917 58188 62556 87282 93834 149573 174564 187668 299146 448719 598292 897438 1346157 1794876 1890313 1944449 2692314 3780626 3888898 5384628 5670939 5833347 7561252 7777796 11341878 11666694 17012817 17500041 22683756 23333388 24574069 34025634 35000082 49148138 68051268 70000164 73722207 98296276 147444414 221166621 294888828 442333242 705086749 758015513 884666484 1410173498 1516031026 2115260247 2274046539 2820346996 3032062052 4230520494 4548093078 6345780741 6822139617 8461040988 9096186156 9166127737 9854201669 12691561482 13644279234 18332255474 19708403338 25383122964 27288558468 27498383211 29562605007 36664510948 39416806676 54996766422 59125210014 82495149633 88687815021 109993532844 118250420028 164990299266 177375630042 282739786349 329980598532 354751260084 565479572698 848219359047 1130959145396 1696438718094 2544658077141 3392877436188 3675617222537 5089316154282 7351234445074 10178632308564 11026851667611 14702468890148 22053703335222 33080555002833 44107406670444 66161110005666 132322220011332