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21021000000000 = 29359721113
BaseRepresentation
bin1001100011110010101010…
…01111001110001000000000
32202102120212122002110111120
410301321111033032020000
510223402002000000000
6112412525235312240
74266500655565500
oct461712517161000
982376778073446
1021021000000000
116774a57535830
12243601644b680
13b9636c194380
145295c96d7a00
15266c100496a0
hex131e553ce200

21021000000000 has 2400 divisors, whose sum is σ = 95666474578752. Its totient is φ = 4032000000000.

The previous prime is 21020999999959. The next prime is 21021000000001. The reversal of 21021000000000 is 12012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021000000001) 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 239 ways as a sum of consecutive naturals, for example, 1616999999994 + ... + 1617000000006.

Almost surely, 221021000000000 is an apocalyptic number.

21021000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47833237289376).

21021000000000 is an abundant number, since it is smaller than the sum of its proper divisors (74645474578752).

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

21021000000000 is an frugal number, since it uses more digits than its factorization.

21021000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 21021000000000 its reverse (12012), we get a palindrome (21021000012012).

It can be divided in two parts, 210 and 21000000000, that multiplied together give a square (4410000000000 = 21000002).

The spelling of 21021000000000 in words is "twenty-one trillion, twenty-one billion", and thus it is an aban number and an uban number.