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210212020000 = 255410510601
BaseRepresentation
bin1100001111000110011…
…1001101111100100000
3202002121001000001101101
43003301213031330200
511421003234120000
6240323045044144
721121151455033
oct3036147157440
9662531001341
10210212020000
1181172228a54
12348a76b6654
1316a90c11a68
14a26247501a
155704c62e6a
hex30f19cdf20

210212020000 has 60 divisors (see below), whose sum is σ = 517153150206. Its totient is φ = 84084800000.

The previous prime is 210212019977. The next prime is 210212020009. The reversal of 210212020000 is 20212012.

210212020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8672079376 + 201539940624 = 93124^2 + 448932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210212020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5235301 + ... + 5275300.

Almost surely, 2210212020000 is an apocalyptic number.

210212020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212020000 is an abundant number, since it is smaller than the sum of its proper divisors (306941130206).

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

210212020000 is an equidigital number, since it uses as much as digits as its factorization.

210212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510631 (or 10510608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210212020000 its reverse (20212012), we get a palindrome (210232232012).

The spelling of 210212020000 in words is "two hundred ten billion, two hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10510601 21021202 42042404 52553005 84084808 105106010 168169616 210212020 262765025 336339232 420424040 525530050 840848080 1051060100 1313825125 1681696160 2102120200 2627650250 4204240400 5255300500 6569125625 8408480800 10510601000 13138251250 21021202000 26276502500 42042404000 52553005000 105106010000 210212020000