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203133133104 = 24311234974713
BaseRepresentation
bin1011110100101110101…
…1011010000100110000
3201102022200211100010020
42331023223122010300
511312004040224404
6233152412003440
720450554066566
oct2751353320460
9642280740106
10203133133104
117916a3a3500
1233450a60580
13162034782a5
149b90261a36
15543d564ed9
hex2f4bada130

203133133104 has 60 divisors (see below), whose sum is σ = 576802983288. Its totient is φ = 61555493120.

The previous prime is 203133133079. The next prime is 203133133109. The reversal of 203133133104 is 401331331302.

It is a happy number.

203133133104 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 (24).

It is not an unprimeable number, because it can be changed into a prime (203133133109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17481549 + ... + 17493164.

Almost surely, 2203133133104 is an apocalyptic number.

203133133104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203133133104 is an abundant number, since it is smaller than the sum of its proper divisors (373669850184).

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

203133133104 is a wasteful number, since it uses less digits than its factorization.

203133133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34974746 (or 34974729 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 203133133104 its reverse (401331331302), we get a palindrome (604464464406).

The spelling of 203133133104 in words is "two hundred three billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 34974713 69949426 104924139 139898852 209848278 279797704 384721843 419696556 559595408 769443686 839393112 1154165529 1538887372 1678786224 2308331058 3077774744 4231940273 4616662116 6155549488 8463880546 9233324232 12695820819 16927761092 18466648464 25391641638 33855522184 50783283276 67711044368 101566566552 203133133104