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20212202000 = 245310106101
BaseRepresentation
bin10010110100101111…
…011011101000010000
31221011121211020200002
4102310233123220100
5312343310431000
613141345345132
71313606611424
oct226457335020
957147736602
1020212202000
118632296581
123b010381a8
131ba1644b53
14d9a562b84
157d46d58d5
hex4b4bdba10

20212202000 has 40 divisors (see below), whose sum is σ = 48873109272. Its totient is φ = 8084880000.

The previous prime is 20212201943. The next prime is 20212202009. The reversal of 20212202000 is 20221202.

It can be written as a sum of positive squares in 4 ways, for example, as 51609856 + 20160592144 = 7184^2 + 141988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20212202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5051051 + ... + 5055050.

Almost surely, 220212202000 is an apocalyptic number.

20212202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212202000 is an abundant number, since it is smaller than the sum of its proper divisors (28660907272).

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

20212202000 is a wasteful number, since it uses less digits than its factorization.

20212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106124 (or 10106108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20212202000 its reverse (20221202), we get a palindrome (20232423202).

The spelling of 20212202000 in words is "twenty billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10106101 20212202 40424404 50530505 80848808 101061010 161697616 202122020 252652525 404244040 505305050 808488080 1010610100 1263262625 2021220200 2526525250 4042440400 5053050500 10106101000 20212202000