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20120210000 = 2454111011811
BaseRepresentation
bin10010101111010000…
…100000101001010000
31220221012201120100222
4102233100200221100
5312201233210000
613124301532212
71311411651242
oct225720405120
956835646328
1020120210000
118595374630
123a96274068
131b88576307
14d8c258092
157cb5b3a85
hex4af420a50

20120210000 has 200 divisors, whose sum is σ = 53697286368. Its totient is φ = 7240000000.

The previous prime is 20120209987. The next prime is 20120210009. The reversal of 20120210000 is 1202102.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20120210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11109095 + ... + 11110905.

Almost surely, 220120210000 is an apocalyptic number.

20120210000 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 20120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26848643184).

20120210000 is an abundant number, since it is smaller than the sum of its proper divisors (33577076368).

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

20120210000 is a wasteful number, since it uses less digits than its factorization.

20120210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20120210000 its reverse (1202102), we get a palindrome (20121412102).

The spelling of 20120210000 in words is "twenty billion, one hundred twenty million, two hundred ten thousand".