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132300002243000 = 23534111232873401
BaseRepresentation
bin11110000101001101111110…
…101000110011000110111000
3122100102202102122000010022002
4132011031332220303012320
5114320100401033234000
61145213440524120132
736603234250203434
oct3605157650630670
9570382378003262
10132300002243000
1139178130237529
1212a08763096048
1358a8ab5252077
1424954d61b59c4
1510466600298d5
hex78537ea331b8

132300002243000 has 128 divisors (see below), whose sum is σ = 317415294181440. Its totient is φ = 51583276800000.

The previous prime is 132300002242981. The next prime is 132300002243011. The reversal of 132300002243000 is 342200003231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44606300 + ... + 47479700.

Almost surely, 2132300002243000 is an apocalyptic number.

132300002243000 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 132300002243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158707647090720).

132300002243000 is an abundant number, since it is smaller than the sum of its proper divisors (185115291938440).

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

132300002243000 is a wasteful number, since it uses less digits than its factorization.

132300002243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874586 (or 2874572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132300002243000 its reverse (342200003231), we get a palindrome (132642202246231).

The spelling of 132300002243000 in words is "one hundred thirty-two trillion, three hundred billion, two million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1123 1640 2050 2246 4100 4492 5125 5615 8200 8984 10250 11230 20500 22460 28075 41000 44920 46043 56150 92086 112300 140375 184172 224600 230215 280750 368344 460430 561500 920860 1123000 1151075 1841720 2302150 2873401 4604300 5746802 5755375 9208600 11493604 11510750 14367005 22987208 23021500 28734010 46043000 57468020 71835025 114936040 117809441 143670050 235618882 287340100 359175125 471237764 574680200 589047205 718350250 942475528 1178094410 1436700500 2356188820 2873401000 2945236025 3226829323 4712377640 5890472050 6453658646 11780944100 12907317292 14726180125 16134146615 23561888200 25814634584 29452360250 32268293230 58904720500 64536586460 80670733075 117809441000 129073172920 132300002243 161341466150 264600004486 322682932300 403353665375 529200008972 645365864600 661500011215 806707330750 1058400017944 1323000022430 1613414661500 2646000044860 3226829323000 3307500056075 5292000089720 6615000112150 13230000224300 16537500280375 26460000448600 33075000560750 66150001121500 132300002243000