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203403100404 = 223737619105727
BaseRepresentation
bin1011110101101111000…
…1010000000011110100
3201110000111211002122010
42331123301100003310
511313032143203104
6233235254204220
720460342553350
oct2753361200364
9643014732563
10203403100404
1179298824979
1233507353670
131624738c25a
149bb8058460
1554570e0489
hex2f5bc500f4

203403100404 has 96 divisors (see below), whose sum is σ = 557973176320. Its totient is φ = 56452609152.

The previous prime is 203403100399. The next prime is 203403100451. The reversal of 203403100404 is 404001304302.

203403100404 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 (21).

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, 1870989 + ... + 1976715.

Almost surely, 2203403100404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203403100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278986588160).

203403100404 is an abundant number, since it is smaller than the sum of its proper divisors (354570075916).

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

203403100404 is a wasteful number, since it uses less digits than its factorization.

203403100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106397 (or 106395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 203403100404 its reverse (404001304302), we get a palindrome (607404404706).

The spelling of 203403100404 in words is "two hundred three billion, four hundred three million, one hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 619 777 1036 1238 1554 1857 2476 3108 3714 4333 7428 8666 12999 17332 22903 25998 45806 51996 68709 91612 105727 137418 160321 211454 274836 317181 320642 422908 480963 634362 641284 740089 961926 1268724 1480178 1923852 2220267 2960356 3911899 4440534 7823798 8881068 11735697 15647596 23471394 27383293 46942788 54766586 65445013 82149879 109533172 130890026 164299758 196335039 261780052 328599516 392670078 458115091 785340156 916230182 1374345273 1832460364 2421465481 2748690546 4842930962 5497381092 7264396443 9685861924 14528792886 16950258367 29057585772 33900516734 50850775101 67801033468 101701550202 203403100404