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21321300302100 = 22325223690333669
BaseRepresentation
bin1001101100100010000001…
…00001111101100100010100
32210111022000002002102021200
410312101000201331210110
510243312010334131400
6113202511541112500
74330261461206361
oct466210041754424
983438002072250
1021321300302100
1168803491a2487
1224842643b8730
13bb8789298416
14539d5668b468
1526e938c76b00
hex13644087d914

21321300302100 has 54 divisors (see below), whose sum is σ = 66830431283070. Its totient is φ = 5685680080320.

The previous prime is 21321300302087. The next prime is 21321300302101. The reversal of 21321300302100 is 120300312312.

21321300302100 is a `hidden beast` number, since 2 + 1 + 321 + 30 + 0 + 302 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 336673815696 + 20984626486404 = 580236^2 + 4580898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321300302101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11845165935 + ... + 11845167734.

Almost surely, 221321300302100 is an apocalyptic number.

21321300302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321300302100 is an abundant number, since it is smaller than the sum of its proper divisors (45509130980970).

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

21321300302100 is a wasteful number, since it uses less digits than its factorization.

21321300302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23690333689 (or 23690333679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21321300302100 its reverse (120300312312), we get a palindrome (21441600614412).

The spelling of 21321300302100 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23690333669 47380667338 71071001007 94761334676 118451668345 142142002014 213213003021 236903336690 284284004028 355355005035 426426006042 473806673380 592258341725 710710010070 852852012084 1066065015105 1184516683450 1421420020140 1776775025175 2132130030210 2369033366900 3553550050350 4264260060420 5330325075525 7107100100700 10660650151050 21321300302100