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21300202132301 = 137941612126993
BaseRepresentation
bin1001101011111010101101…
…11110110101001101001101
32210102021112201011100021102
410311331112332311031031
510242440303221213201
6113145102222112445
74325613602551301
oct465752676651515
983367481140242
1021300202132301
116872401899214
12248015671b725
13bb67a6230b91
14538d145c1d01
1526e1018d726b
hex135f56fb534d

21300202132301 has 16 divisors (see below), whose sum is σ = 21482783810928. Its totient is φ = 21118022553600.

The previous prime is 21300202132291. The next prime is 21300202132333. The reversal of 21300202132301 is 10323120200312.

It can be written as a sum of positive squares in 8 ways, for example, as 3236937124201 + 18063265008100 = 1799149^2 + 4250090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21300202132301 is a prime.

It is a super-2 number, since 2×213002021323012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300202132801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789087461 + ... + 789114453.

It is an arithmetic number, because the mean of its divisors is an integer number (1342673988183).

Almost surely, 221300202132301 is an apocalyptic number.

It is an amenable number.

21300202132301 is a deficient number, since it is larger than the sum of its proper divisors (182581678627).

21300202132301 is a wasteful number, since it uses less digits than its factorization.

21300202132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34192.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21300202132301 its reverse (10323120200312), we get a palindrome (31623322332613).

The spelling of 21300202132301 in words is "twenty-one trillion, three hundred billion, two hundred two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 137 941 6121 26993 128917 838577 3698041 5759861 25400413 165224153 789100957 3479856581 22635708961 155475927973 21300202132301