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133310000000 = 275713331
BaseRepresentation
bin111110000100111100…
…1010010101110000000
3110202002121021200000102
41330021321102232000
54141004330000000
6141124115541532
712426355206062
oct1741171225600
9422077250012
10133310000000
115159a024121
1221a052ba8a8
13c756878708
146648d29732
15370373e3d5
hex1f09e52b80

133310000000 has 128 divisors (see below), whose sum is σ = 331997196960. Its totient is φ = 53320000000.

The previous prime is 133309999981. The next prime is 133310000003. The reversal of 133310000000 is 13331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1333100000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133310000003) 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 15 ways as a sum of consecutive naturals, for example, 9993335 + ... + 10006665.

Almost surely, 2133310000000 is an apocalyptic number.

133310000000 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 133310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165998598480).

133310000000 is an abundant number, since it is smaller than the sum of its proper divisors (198687196960).

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

133310000000 is an frugal number, since it uses more digits than its factorization.

133310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 133310000000 its reverse (13331), we get a palindrome (133310013331).

133310000000 divided by its reverse (13331) gives a 7-th power (10000000 = 107).

The spelling of 133310000000 in words is "one hundred thirty-three billion, three hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 13331 15625 16000 20000 25000 26662 31250 40000 50000 53324 62500 66655 78125 80000 100000 106648 125000 133310 156250 200000 213296 250000 266620 312500 333275 400000 426592 500000 533240 625000 666550 853184 1000000 1066480 1250000 1333100 1666375 1706368 2000000 2132960 2500000 2666200 3332750 4265920 5000000 5332400 6665500 8331875 8531840 10000000 10664800 13331000 16663750 21329600 26662000 33327500 41659375 42659200 53324000 66655000 83318750 106648000 133310000 166637500 208296875 213296000 266620000 333275000 416593750 533240000 666550000 833187500 1041484375 1066480000 1333100000 1666375000 2082968750 2666200000 3332750000 4165937500 5332400000 6665500000 8331875000 13331000000 16663750000 26662000000 33327500000 66655000000 133310000000