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210221000100 = 223252233578889
BaseRepresentation
bin1100001111001000100…
…1011110010110100100
3202002121122220021202200
43003302021132112210
511421013034000400
6240324005334500
721121321006056
oct3036211362644
9662548807680
10210221000100
1181177301921
12348aa707430
1316a92a37327
14a2637318d6
155705938b00
hex30f225e5a4

210221000100 has 54 divisors (see below), whose sum is σ = 658926048690. Its totient is φ = 56058933120.

The previous prime is 210221000069. The next prime is 210221000137. The reversal of 210221000100 is 1000122012.

It can be written as a sum of positive squares in 3 ways, for example, as 71519874624 + 138701125476 = 267432^2 + 372426^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116788545 + ... + 116790344.

It is an arithmetic number, because the mean of its divisors is an integer number (12202334235).

Almost surely, 2210221000100 is an apocalyptic number.

210221000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221000100 is an abundant number, since it is smaller than the sum of its proper divisors (448705048590).

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

210221000100 is a wasteful number, since it uses less digits than its factorization.

210221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233578909 (or 233578899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210221000100 its reverse (1000122012), we get a palindrome (211221122112).

The spelling of 210221000100 in words is "two hundred ten billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 233578889 467157778 700736667 934315556 1167894445 1401473334 2102210001 2335788890 2802946668 3503683335 4204420002 4671577780 5839472225 7007366670 8408840004 10511050005 11678944450 14014733340 17518416675 21022100010 23357888900 35036833350 42044200020 52555250025 70073666700 105110500050 210221000100