Search a number
-
+
20212021202100 = 223527133743479901
BaseRepresentation
bin1001001100001111110100…
…10110000000110010110100
32122120020202111202112022120
410212013322112000302310
510122123204411431400
6110553135132155540
74154161504346220
oct446077226006264
978506674675276
1020212021202100
116492963051302
122325285008bb0
13b37ca6c7c040
144dc3a4ab9780
15250b63867ca0
hex1261fa580cb4

20212021202100 has 1152 divisors, whose sum is σ = 77257060564992. Its totient is φ = 3966133248000.

The previous prime is 20212021202099. The next prime is 20212021202111. The reversal of 20212021202100 is 120212021202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212021202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2041407150 + ... + 2041417050.

Almost surely, 220212021202100 is an apocalyptic number.

20212021202100 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 20212021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38628530282496).

20212021202100 is an abundant number, since it is smaller than the sum of its proper divisors (57045039362892).

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

20212021202100 is a wasteful number, since it uses less digits than its factorization.

20212021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20212021202100 its reverse (120212021202), we get a palindrome (20332233223302).

The spelling of 20212021202100 in words is "twenty trillion, two hundred twelve billion, twenty-one million, two hundred two thousand, one hundred".