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132021200510340 = 22354153667154679
BaseRepresentation
bin11110000001001010010100…
…110000100101110110000100
3122022110002210110100122120120
4132001022110300211312010
5114301013404312312330
61144441411403301540
736544134264445551
oct3601122460456604
9568402713318516
10132021200510340
113907a9709a2239
1212982714b1a8b0
135888713136a1b
142485c08557a28
15103e2938cdc10
hex781294c25d84

132021200510340 has 48 divisors (see below), whose sum is σ = 378675443422080. Its totient is φ = 34346978993920.

The previous prime is 132021200510291. The next prime is 132021200510341. The reversal of 132021200510340 is 43015002120231.

132021200510340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132021200510340.

It is not an unprimeable number, because it can be changed into a prime (132021200510341) 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 15 ways as a sum of consecutive naturals, for example, 26833574880 + ... + 26833579799.

It is an arithmetic number, because the mean of its divisors is an integer number (7889071737960).

Almost surely, 2132021200510340 is an apocalyptic number.

132021200510340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132021200510340 is an abundant number, since it is smaller than the sum of its proper divisors (246654242911740).

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

132021200510340 is a wasteful number, since it uses less digits than its factorization.

132021200510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53667154732 (or 53667154730 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 132021200510340 its reverse (43015002120231), we get a palindrome (175036202630571).

The spelling of 132021200510340 in words is "one hundred thirty-two trillion, twenty-one billion, two hundred million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 53667154679 107334309358 161001464037 214668618716 268335773395 322002928074 536671546790 644005856148 805007320185 1073343093580 1610014640370 2200353341839 3220029280740 4400706683678 6601060025517 8801413367356 11001766709195 13202120051034 22003533418390 26404240102068 33005300127585 44007066836780 66010600255170 132021200510340