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203133123312 = 243725111532089
BaseRepresentation
bin1011110100101110101…
…1010111101011110000
3201102022200210211200120
42331023223113223300
511312004034421222
6233152411450240
720450554026210
oct2751353275360
9642280724616
10203133123312
117916a397109
1233450a56980
13162034739b2
149b9025c240
15543d56215c
hex2f4bad7af0

203133123312 has 160 divisors (see below), whose sum is σ = 602926410240. Its totient is φ = 57729024000.

The previous prime is 203133123283. The next prime is 203133123337. The reversal of 203133123312 is 213321331302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97238364 + ... + 97240452.

It is an arithmetic number, because the mean of its divisors is an integer number (3768290064).

Almost surely, 2203133123312 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 203133123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301463205120).

203133123312 is an abundant number, since it is smaller than the sum of its proper divisors (399793286928).

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

203133123312 is a wasteful number, since it uses less digits than its factorization.

203133123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3505 counting only the distinct ones).

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

Adding to 203133123312 its reverse (213321331302), we get a palindrome (416454454614).

The spelling of 203133123312 in words is "two hundred three billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 251 336 502 753 1004 1153 1506 1757 2008 2089 2306 3012 3459 3514 4016 4178 4612 5271 6024 6267 6918 7028 8071 8356 9224 10542 12048 12534 13836 14056 14623 16142 16712 18448 21084 24213 25068 27672 28112 29246 32284 33424 42168 43869 48426 50136 55344 58492 64568 84336 87738 96852 100272 116984 129136 175476 193704 233968 289403 350952 387408 524339 578806 701904 868209 1048678 1157612 1573017 1736418 2025821 2097356 2315224 2408617 3146034 3472836 3670373 4051642 4194712 4630448 4817234 6077463 6292068 6945672 7225851 7340746 8103284 8389424 9634468 11011119 12154926 12584136 13891344 14451702 14681492 16206568 16860319 19268936 22022238 24309852 25168272 28903404 29362984 32413136 33720638 38537872 44044476 48619704 50580957 57806808 58725968 67441276 88088952 97239408 101161914 115613616 134882552 176177904 202323828 269765104 404647656 604562867 809295312 1209125734 1813688601 2418251468 3627377202 4231940069 4836502936 7254754404 8463880138 9673005872 12695820207 14509508808 16927760276 25391640414 29019017616 33855520552 50783280828 67711041104 101566561656 203133123312