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132220315116200 = 235216323916970033
BaseRepresentation
bin11110000100000011110000…
…111010100010001010101000
3122100011010202002121122122102
4132010003300322202022220
5114312244201132204300
61145113101344312532
736564413444615543
oct3604036072421250
9570133662548572
10132220315116200
11391473589a7743
12129b5224012748
1358a1425ba462c
1424916d6c0185a
15104454925e0d5
hex7840f0ea22a8

132220315116200 has 96 divisors (see below), whose sum is σ = 310592350281600. Its totient is φ = 52343724303360.

The previous prime is 132220315116121. The next prime is 132220315116203. The reversal of 132220315116200 is 2611513022231.

It is not an unprimeable number, because it can be changed into a prime (132220315116203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693617 + ... + 16276416.

It is an arithmetic number, because the mean of its divisors is an integer number (3235336982100).

Almost surely, 2132220315116200 is an apocalyptic number.

132220315116200 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 132220315116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155296175140800).

132220315116200 is an abundant number, since it is smaller than the sum of its proper divisors (178372035165400).

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

132220315116200 is a wasteful number, since it uses less digits than its factorization.

132220315116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970451 (or 16970442 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 132220315116200 its reverse (2611513022231), we get a palindrome (134831828138431).

The spelling of 132220315116200 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred fifteen million, one hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 239 326 478 652 815 956 1195 1304 1630 1912 2390 3260 4075 4780 5975 6520 8150 9560 11950 16300 23900 32600 38957 47800 77914 155828 194785 311656 389570 779140 973925 1558280 1947850 3895700 7791400 16970033 33940066 67880132 84850165 135760264 169700330 339400660 424250825 678801320 848501650 1697003300 2766115379 3394006600 4055837887 5532230758 8111675774 11064461516 13830576895 16223351548 20279189435 22128923032 27661153790 32446703096 40558378870 55322307580 69152884475 81116757740 101395947175 110644615160 138305768950 162233515480 202791894350 276611537900 405583788700 553223075800 661101575581 811167577400 1322203151162 2644406302324 3305507877905 5288812604648 6611015755810 13222031511620 16527539389525 26444063023240 33055078779050 66110157558100 132220315116200