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132302012000 = 255338985027
BaseRepresentation
bin111101100110111010…
…0000111111001100000
3110122111100120120102112
41323031310013321200
54131423303341000
6140440111134452
712362365355414
oct1731564077140
9418440516375
10132302012000
1151122044894
1221783814428
13c625aa2702
1465910dcd44
153694ed1235
hex1ecdd07e60

132302012000 has 96 divisors (see below), whose sum is σ = 325905521760. Its totient is φ = 52784140800.

The previous prime is 132302011951. The next prime is 132302012033. The reversal of 132302012000 is 210203231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513487 + ... + 1598513.

It is an arithmetic number, because the mean of its divisors is an integer number (3394849185).

Almost surely, 2132302012000 is an apocalyptic number.

132302012000 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 132302012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162952760880).

132302012000 is an abundant number, since it is smaller than the sum of its proper divisors (193603509760).

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

132302012000 is an equidigital number, since it uses as much as digits as its factorization.

132302012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85441 (or 85423 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 132302012000 its reverse (210203231), we get a palindrome (132512215231).

The spelling of 132302012000 in words is "one hundred thirty-two billion, three hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 389 400 500 778 800 1000 1556 1945 2000 3112 3890 4000 6224 7780 9725 12448 15560 19450 31120 38900 48625 62240 77800 85027 97250 155600 170054 194500 311200 340108 389000 425135 680216 778000 850270 1360432 1556000 1700540 2125675 2720864 3401080 4251350 6802160 8502700 10628375 13604320 17005400 21256750 33075503 34010800 42513500 66151006 68021600 85027000 132302012 165377515 170054000 264604024 330755030 340108000 529208048 661510060 826887575 1058416096 1323020120 1653775150 2646040240 3307550300 4134437875 5292080480 6615100600 8268875750 13230201200 16537751500 26460402400 33075503000 66151006000 132302012000