Search a number
-
+
21220210210100 = 225211243193211319
BaseRepresentation
bin1001101001100101101110…
…00101110111010100110100
32210010122001221020122221012
410310302313011313110310
510240132442303210400
6113044232513411352
74320052406462156
oct464626705672464
983118057218835
1021220210210100
1168414934aa100
122468751569b58
13bac098996a35
145350c694aad6
1526bebdeb1d35
hex134cb7177534

21220210210100 has 216 divisors, whose sum is σ = 52060266054720. Its totient is φ = 7497900748800.

The previous prime is 21220210210099. The next prime is 21220210210127. The reversal of 21220210210100 is 101201202212.

It is a super-2 number, since 2×212202102101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100312241 + ... + 100523559.

Almost surely, 221220210210100 is an apocalyptic number.

21220210210100 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 21220210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26030133027360).

21220210210100 is an abundant number, since it is smaller than the sum of its proper divisors (30840055844620).

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

21220210210100 is a wasteful number, since it uses less digits than its factorization.

21220210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211591 (or 211573 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220210210100 its reverse (101201202212), we get a palindrome (21321411412312).

The spelling of 21220210210100 in words is "twenty-one trillion, two hundred twenty billion, two hundred ten million, two hundred ten thousand, one hundred".