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132330100000 = 25557189043
BaseRepresentation
bin111101100111101111…
…1010001010100100000
3110122120022102120220211
41323033133101110200
54132003001200000
6140442553143504
712363156201550
oct1731737212440
9418508376824
10132330100000
115113698980a
12217910bab94
13c62b858327
146594b31160
1536976cd7ba
hex1ecf7d1520

132330100000 has 144 divisors (see below), whose sum is σ = 372156555456. Its totient is φ = 45370080000.

The previous prime is 132330099983. The next prime is 132330100031. The reversal of 132330100000 is 1033231.

It is a super-2 number, since 2×1323301000002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605479 + ... + 794521.

It is an arithmetic number, because the mean of its divisors is an integer number (2584420524).

Almost surely, 2132330100000 is an apocalyptic number.

132330100000 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 132330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186078277728).

132330100000 is an abundant number, since it is smaller than the sum of its proper divisors (239826455456).

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

132330100000 is an frugal number, since it uses more digits than its factorization.

132330100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189085 (or 189057 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 132330100000 its reverse (1033231), we get a palindrome (132331133231).

The spelling of 132330100000 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 189043 350000 378086 700000 756172 945215 1323301 1512344 1890430 2646602 3024688 3780860 4726075 5293204 6049376 6616505 7561720 9452150 10586408 13233010 15123440 18904300 21172816 23630375 26466020 30246880 33082525 37808600 42345632 47260750 52932040 66165050 75617200 94521500 105864080 118151875 132330100 151234400 165412625 189043000 211728160 236303750 264660200 330825250 378086000 472607500 529320400 590759375 661650500 756172000 827063125 945215000 1058640800 1181518750 1323301000 1654126250 1890430000 2363037500 2646602000 3308252500 3780860000 4135315625 4726075000 5293204000 6616505000 8270631250 9452150000 13233010000 16541262500 18904300000 26466020000 33082525000 66165050000 132330100000