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21300102213201 = 337351132098819
BaseRepresentation
bin1001101011111010100010…
…00001101010111001010001
32210102021021202010221001000
410311331101001222321101
510242440102131310301
6113145044252332213
74325611250344050
oct465752101527121
983367252127030
1021300102213201
116872360452549
122480129174069
13bb678b618156
14538d05212397
1526e0e7c4b786
hex135f5106ae51

21300102213201 has 32 divisors (see below), whose sum is σ = 36073937868800. Its totient is φ = 12168019927440.

The previous prime is 21300102213197. The next prime is 21300102213239. The reversal of 21300102213201 is 10231220100312.

21300102213201 is a `hidden beast` number, since 21 + 300 + 1 + 0 + 2 + 21 + 320 + 1 = 666.

It is not a de Polignac number, because 21300102213201 - 22 = 21300102213197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21300102213281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15385831 + ... + 16712988.

It is an arithmetic number, because the mean of its divisors is an integer number (1127310558400).

Almost surely, 221300102213201 is an apocalyptic number.

21300102213201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21300102213201 is a deficient number, since it is larger than the sum of its proper divisors (14773835655599).

21300102213201 is a wasteful number, since it uses less digits than its factorization.

21300102213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32102346 (or 32102340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21300102213201 its reverse (10231220100312), we get a palindrome (31531322313513).

The spelling of 21300102213201 in words is "twenty-one trillion, three hundred billion, one hundred two million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 3511 10533 24577 31599 73731 94797 221193 663579 32098819 96296457 224691733 288889371 674075199 866668113 2022225597 6066676791 112698953509 338096860527 788892674563 1014290581581 2366678023689 3042871744743 7100034071067 21300102213201