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203300212020 = 223515135416337
BaseRepresentation
bin1011110101010110100…
…0110000110100110100
3201102202100012211022020
42331111220300310310
511312324323241040
6233221141033140
720454653201253
oct2752550606464
9642670184266
10203300212020
1179245740354
12334989b57b0
131622bc76b59
149ba851479a
15544d069cd0
hex2f55a30d34

203300212020 has 96 divisors (see below), whose sum is σ = 573262669056. Its totient is φ = 53830656000.

The previous prime is 203300211979. The next prime is 203300212033. The reversal of 203300212020 is 20212003302.

203300212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32078292 + ... + 32084628.

It is an arithmetic number, because the mean of its divisors is an integer number (5971486136).

Almost surely, 2203300212020 is an apocalyptic number.

203300212020 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 203300212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286631334528).

203300212020 is an abundant number, since it is smaller than the sum of its proper divisors (369962457036).

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

203300212020 is a wasteful number, since it uses less digits than its factorization.

203300212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 203300212020 its reverse (20212003302), we get a palindrome (223512215322).

The spelling of 203300212020 in words is "two hundred three billion, three hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 3541 4530 6337 7082 9060 10623 12674 14164 17705 19011 21246 25348 31685 35410 38022 42492 53115 63370 70820 76044 95055 106230 126740 190110 212460 380220 534691 956887 1069382 1604073 1913774 2138764 2673455 2870661 3208146 3827548 4784435 5346910 5741322 6416292 8020365 9568870 10693820 11482644 14353305 16040730 19137740 22439317 28706610 32081460 44878634 57413220 67317951 89757268 112196585 134635902 224393170 269271804 336589755 448786340 673179510 1346359020 3388336867 6776673734 10165010601 13553347468 16941684335 20330021202 33883368670 40660042404 50825053005 67766737340 101650106010 203300212020