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133230001212 = 223271152192251
BaseRepresentation
bin111110000010100100…
…0000111110000111100
3110201220000202022022100
41330011020013300330
54140323340014322
6141112141145100
712424364216340
oct1740510076074
9421800668270
10133230001212
1151558953920
12219a255b190
13c743118a59
14663c463620
1536eb6dadac
hex1f05207c3c

133230001212 has 144 divisors (see below), whose sum is σ = 420686832384. Its totient is φ = 34538400000.

The previous prime is 133230001211. The next prime is 133230001237. The reversal of 133230001212 is 212100032331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133230001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398087 + ... + 1490337.

It is an arithmetic number, because the mean of its divisors is an integer number (2921436336).

Almost surely, 2133230001212 is an apocalyptic number.

133230001212 is a gapful number since it is divisible by the number (12) 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 133230001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343416192).

133230001212 is an abundant number, since it is smaller than the sum of its proper divisors (287456831172).

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

133230001212 is a wasteful number, since it uses less digits than its factorization.

133230001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92800 (or 92795 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133230001212 its reverse (212100032331), we get a palindrome (345330033543).

The spelling of 133230001212 in words is "one hundred thirty-three billion, two hundred thirty million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 521 693 924 1042 1386 1563 2084 2772 3126 3647 4689 5731 6252 7294 9378 10941 11462 14588 17193 18756 21882 22924 32823 34386 40117 43764 51579 65646 68772 80234 92251 103158 120351 131292 160468 184502 206316 240702 276753 361053 369004 481404 553506 645757 722106 830259 1014761 1107012 1291514 1444212 1660518 1937271 2029522 2583028 3044283 3321036 3874542 4059044 5811813 6088566 7103327 7749084 9132849 11623626 12177132 14206654 18265698 21309981 23247252 28413308 36531396 42619962 48062771 63929943 85239924 96125542 127859886 144188313 192251084 255719772 288376626 336439397 432564939 528690481 576753252 672878794 865129878 1009318191 1057380962 1345757588 1586071443 1730259756 2018636382 2114761924 3027954573 3172142886 3700833367 4037272764 4758214329 6055909146 6344285772 7401666734 9516428658 11102500101 12111818292 14803333468 19032857316 22205000202 33307500303 44410000404 66615000606 133230001212