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20214210000 = 243543718211
BaseRepresentation
bin10010110100110111…
…000101110111010000
31221011202121021010110
4102310313011313100
5312344314210000
613141500401320
71313632643565
oct226467056720
957152537113
1020214210000
118633438186
123b01846240
131ba1b98b0a
14d9a92686c
157d4980850
hex4b4dc5dd0

20214210000 has 200 divisors, whose sum is σ = 67021471264. Its totient is φ = 5244480000.

The previous prime is 20214209987. The next prime is 20214210013. The reversal of 20214210000 is 1241202.

It is an interprime number because it is at equal distance from previous prime (20214209987) and next prime (20214210013).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×202142100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1100895 + ... + 1119105.

Almost surely, 220214210000 is an apocalyptic number.

20214210000 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 20214210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33510735632).

20214210000 is an abundant number, since it is smaller than the sum of its proper divisors (46807261264).

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

20214210000 is a wasteful number, since it uses less digits than its factorization.

20214210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20214210000 its reverse (1241202), we get a palindrome (20215451202).

The spelling of 20214210000 in words is "twenty billion, two hundred fourteen million, two hundred ten thousand".