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203242252100 = 225241107463283
BaseRepresentation
bin1011110101001000101…
…1101010011101000100
3201102121022011011020112
42331102023222131010
511312220004031400
6233211310452152
720453350432016
oct2752213523504
9642538134215
10203242252100
1179215a53198
1233481504058
131621cc62644
149ba09481b6
155447e1b835
hex2f522ea744

203242252100 has 72 divisors (see below), whose sum is σ = 456016000608. Its totient is φ = 78572627200.

The previous prime is 203242252099. The next prime is 203242252159. The reversal of 203242252100 is 1252242302.

203242252100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 207059 + ... + 670341.

It is an arithmetic number, because the mean of its divisors is an integer number (6333555564).

Almost surely, 2203242252100 is an apocalyptic number.

203242252100 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 203242252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228008000304).

203242252100 is an abundant number, since it is smaller than the sum of its proper divisors (252773748508).

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

203242252100 is a wasteful number, since it uses less digits than its factorization.

203242252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463445 (or 463438 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 203242252100 its reverse (1252242302), we get a palindrome (204494494402).

The spelling of 203242252100 in words is "two hundred three billion, two hundred forty-two million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 107 164 205 214 410 428 535 820 1025 1070 2050 2140 2675 4100 4387 5350 8774 10700 17548 21935 43870 87740 109675 219350 438700 463283 926566 1853132 2316415 4632830 9265660 11582075 18994603 23164150 37989206 46328300 49571281 75978412 94973015 99142562 189946030 198285124 247856405 379892060 474865075 495712810 949730150 991425620 1239282025 1899460300 2032422521 2478564050 4064845042 4957128100 8129690084 10162112605 20324225210 40648450420 50810563025 101621126050 203242252100