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132212022110300 = 225211142733842081
BaseRepresentation
bin11110000011111100000010…
…100111001110100001011100
3122100010100100010212022012202
4132003330002213032201130
5114312130210130012200
61145105210420351032
736564001105336016
oct3603740247164134
9570110303768182
10132212022110300
11391438927a2660
12129b36aa845478
1358a0703a42052
14249114b6651b6
1510442111871d5
hex783f029ce85c

132212022110300 has 72 divisors (see below), whose sum is σ = 312984478617552. Its totient is φ = 48076705024000.

The previous prime is 132212022110261. The next prime is 132212022110309. The reversal of 132212022110300 is 3011220212231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212022110309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156585260 + ... + 157427340.

It is an arithmetic number, because the mean of its divisors is an integer number (4347006647466).

Almost surely, 2132212022110300 is an apocalyptic number.

132212022110300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212022110300 is an abundant number, since it is smaller than the sum of its proper divisors (180772456507252).

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

132212022110300 is a wasteful number, since it uses less digits than its factorization.

132212022110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984839 (or 984832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132212022110300 its reverse (3011220212231), we get a palindrome (135223242322531).

The spelling of 132212022110300 in words is "one hundred thirty-two trillion, two hundred twelve billion, twenty-two million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 142733 285466 570932 713665 842081 1427330 1570063 1684162 2854660 3140126 3368324 3568325 4210405 6280252 7136650 7850315 8420810 9262891 14273300 15700630 16841620 18525782 21052025 31401260 37051564 39251575 42104050 46314455 78503150 84208100 92628910 157006300 185257820 231572275 463144550 926289100 120192747373 240385494746 480770989492 600963736865 1201927473730 1322120221103 2403854947460 2644240442206 3004818684325 5288480884412 6009637368650 6610601105515 12019274737300 13221202211030 26442404422060 33053005527575 66106011055150 132212022110300