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132425702200 = 235211192166741
BaseRepresentation
bin111101101010100101…
…1111101101100111000
3110122210222022200111001
41323111023331230320
54132201434432300
6140500250214344
712365426616301
oct1732513755470
9418728280431
10132425702200
11511859470a0
12217b91243b4
13c6455bc18c
1465a36d97a8
1536a0cb516a
hex1ed52fdb38

132425702200 has 144 divisors (see below), whose sum is σ = 354490157160. Its totient is φ = 45620064000.

The previous prime is 132425702183. The next prime is 132425702203. The reversal of 132425702200 is 2207524231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132425702203) 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 35 ways as a sum of consecutive naturals, for example, 710830 + ... + 877570.

Almost surely, 2132425702200 is an apocalyptic number.

132425702200 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 132425702200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177245078580).

132425702200 is an abundant number, since it is smaller than the sum of its proper divisors (222064454960).

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

132425702200 is a wasteful number, since it uses less digits than its factorization.

132425702200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166806 (or 166778 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 132425702200 in words is "one hundred thirty-two billion, four hundred twenty-five million, seven hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 361 380 418 440 475 550 722 760 836 950 1045 1100 1444 1672 1805 1900 2090 2200 2888 3610 3800 3971 4180 5225 7220 7942 8360 9025 10450 14440 15884 18050 19855 20900 31768 36100 39710 41800 72200 79420 99275 158840 166741 198550 333482 397100 666964 794200 833705 1333928 1667410 1834151 3168079 3334820 3668302 4168525 6336158 6669640 7336604 8337050 9170755 12672316 14673208 15840395 16674100 18341510 25344632 31680790 33348200 34848869 36683020 45853775 60193501 63361580 69697738 73366040 79201975 91707550 120387002 126723160 139395476 158403950 174244345 183415100 240774004 278790952 300967505 316807900 348488690 366830200 481548008 601935010 633615800 662128511 696977380 871221725 1203870020 1324257022 1393954760 1504837525 1742443450 2407740040 2648514044 3009675050 3310642555 3484886900 5297028088 6019350100 6621285110 6969773800 12038700200 13242570220 16553212775 26485140440 33106425550 66212851100 132425702200