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21020212096 = 271322375647
BaseRepresentation
bin10011100100111001…
…101111101110000000
32000020221020102010221
4103210321233232000
5321022133241341
613353452032424
71342620566122
oct234471575600
960227212127
1021020212096
118a073a8514
1240a7762714
131c9cb70930
1410359b5212
158305e0ed1
hex4e4e6fb80

21020212096 has 64 divisors (see below), whose sum is σ = 45125599680. Its totient is φ = 9695582208.

The previous prime is 21020212093. The next prime is 21020212099. The reversal of 21020212096 is 69021202012.

It is an interprime number because it is at equal distance from previous prime (21020212093) and next prime (21020212099).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21020212096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020212093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3719545 + ... + 3725191.

It is an arithmetic number, because the mean of its divisors is an integer number (705087495).

Almost surely, 221020212096 is an apocalyptic number.

21020212096 is a gapful number since it is divisible by the number (26) 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 21020212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562799840).

21020212096 is an abundant number, since it is smaller than the sum of its proper divisors (24105387584).

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

21020212096 is a wasteful number, since it uses less digits than its factorization.

21020212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 21020212096 in words is "twenty-one billion, twenty million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2237 4474 5647 8948 11294 17896 22588 29081 35792 45176 58162 71584 73411 90352 116324 143168 146822 180704 232648 286336 293644 361408 465296 587288 722816 930592 1174576 1861184 2349152 3722368 4698304 9396608 12632339 25264678 50529356 101058712 164220407 202117424 328440814 404234848 656881628 808469696 1313763256 1616939392 2627526512 5255053024 10510106048 21020212096