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203020020 = 22345717903
BaseRepresentation
bin11000001100111…
…01011011110100
3112011000111010000
430012131123310
5403433120040
632051231300
75013433050
oct1406353364
9464014100
10203020020
11a4665a45
1257ba8530
13330a3ab8
141cd6ac60
1512c54130
hexc19d6f4

203020020 has 120 divisors (see below), whose sum is σ = 727905024. Its totient is φ = 46401984.

The previous prime is 203020019. The next prime is 203020031. The reversal of 203020020 is 20020302.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 203019984 and 203020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2389 + ... + 20291.

Almost surely, 2203020020 is an apocalyptic number.

203020020 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 203020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363952512).

203020020 is an abundant number, since it is smaller than the sum of its proper divisors (524885004).

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

203020020 is a wasteful number, since it uses less digits than its factorization.

203020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203020020 is about 14248.5093957228. The cubic root of 203020020 is about 587.7323855086.

Adding to 203020020 its reverse (20020302), we get a palindrome (223040322).

The spelling of 203020020 in words is "two hundred three million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 17903 35806 53709 71612 89515 107418 125321 161127 179030 214836 250642 268545 322254 358060 375963 483381 501284 537090 626605 644508 751926 805635 966762 1074180 1127889 1253210 1450143 1503852 1611270 1879815 1933524 2255778 2416905 2506420 2900286 3222540 3383667 3759630 4511556 4833810 5639445 5800572 6767334 7250715 7519260 9667620 10151001 11278890 13534668 14501430 16918335 20302002 22557780 29002860 33836670 40604004 50755005 67673340 101510010 203020020