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20022002100 = 22325222246669
BaseRepresentation
bin10010101001011001…
…111000000110110100
31220200100221002110100
4102221121320012310
5312001113031400
613110432554100
71306110131652
oct225131700664
956610832410
1020022002100
118544997581
123a693b2930
131b7110c429
14d7d1b1dd2
157c2b65100
hex4a96781b4

20022002100 has 54 divisors (see below), whose sum is σ = 62757856070. Its totient is φ = 5339200320.

The previous prime is 20022002089. The next prime is 20022002101. The reversal of 20022002100 is 120022002.

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 20021684004 = 564^2 + 141498^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022002101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11122435 + ... + 11124234.

Almost surely, 220022002100 is an apocalyptic number.

20022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022002100 is an abundant number, since it is smaller than the sum of its proper divisors (42735853970).

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

20022002100 is a wasteful number, since it uses less digits than its factorization.

20022002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246689 (or 22246679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20022002100 its reverse (120022002), we get a palindrome (20142024102).

The spelling of 20022002100 in words is "twenty billion, twenty-two million, two thousand, one hundred".

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 22246669 44493338 66740007 88986676 111233345 133480014 200220021 222466690 266960028 333700035 400440042 444933380 556166725 667400070 800880084 1001100105 1112333450 1334800140 1668500175 2002200210 2224666900 3337000350 4004400420 5005500525 6674000700 10011001050 20022002100