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21132042311300 = 2252267778939269
BaseRepresentation
bin1001100111000001011111…
…11000000001011010000100
32202211012111100210100011212
410303200233320001122010
510232211410312430200
6112535532021350552
74310511464632424
oct463405770013204
982735440710155
1021132042311300
116808059a78838
122453646268458
13ba39875c400b
14530b210c0484
15269a5d8d0035
hex13382fe01684

21132042311300 has 36 divisors (see below), whose sum is σ = 45873662218020. Its totient is φ = 8449659246720.

The previous prime is 21132042311231. The next prime is 21132042311311. The reversal of 21132042311300 is 311324023112.

It can be written as a sum of positive squares in 6 ways, for example, as 4827696628804 + 16304345682496 = 2197202^2 + 4037864^2 .

It is a super-2 number, since 2×211320423113002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39201935 + ... + 39737334.

It is an arithmetic number, because the mean of its divisors is an integer number (1274268394945).

Almost surely, 221132042311300 is an apocalyptic number.

21132042311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132042311300 is an abundant number, since it is smaller than the sum of its proper divisors (24741619906720).

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

21132042311300 is a wasteful number, since it uses less digits than its factorization.

21132042311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78941960 (or 78941953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21132042311300 its reverse (311324023112), we get a palindrome (21443366334412).

The spelling of 21132042311300 in words is "twenty-one trillion, one hundred thirty-two billion, forty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2677 5354 10708 13385 26770 53540 66925 133850 267700 78939269 157878538 315757076 394696345 789392690 1578785380 1973481725 3946963450 7893926900 211320423113 422640846226 845281692452 1056602115565 2113204231130 4226408462260 5283010577825 10566021155650 21132042311300