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133000012000 = 255347217043
BaseRepresentation
bin111101111011101101…
…0110010000011100000
3110201021222222122102101
41323313122302003200
54134341000341000
6141033243500144
712415602310012
oct1736732620340
9421258878371
10133000012000
1151450048599
1221939527654
13c70759166b
146619ab61b2
1536d640ae6a
hex1ef76b20e0

133000012000 has 96 divisors (see below), whose sum is σ = 326896655904. Its totient is φ = 53181184000.

The previous prime is 133000011979. The next prime is 133000012043. The reversal of 133000012000 is 210000331.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18880479 + ... + 18887521.

It is an arithmetic number, because the mean of its divisors is an integer number (3405173499).

Almost surely, 2133000012000 is an apocalyptic number.

133000012000 is a gapful number since it is divisible by the number (10) 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 133000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163448327952).

133000012000 is an abundant number, since it is smaller than the sum of its proper divisors (193896643904).

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

133000012000 is an equidigital number, since it uses as much as digits as its factorization.

133000012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 133000012000 its reverse (210000331), we get a palindrome (133210012331).

The spelling of 133000012000 in words is "one hundred thirty-three billion, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4721 7043 9442 14086 18884 23605 28172 35215 37768 47210 56344 70430 75536 94420 112688 118025 140860 151072 176075 188840 225376 236050 281720 352150 377680 472100 563440 590125 704300 755360 880375 944200 1126880 1180250 1408600 1760750 1888400 2360500 2817200 3521500 3776800 4721000 5634400 7043000 9442000 14086000 18884000 28172000 33250003 66500006 133000012 166250015 266000024 332500030 532000048 665000060 831250075 1064000096 1330000120 1662500150 2660000240 3325000300 4156250375 5320000480 6650000600 8312500750 13300001200 16625001500 26600002400 33250003000 66500006000 133000012000